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Finding the Fourth Proportional to 642,543.40, 963,815.10 and 405,116.20

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Solution

The fourth proportional to 642,543.40, 963,815.10 and 405,116.20 is: 607,674.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,543.40 : 963,815.10 = 405,116.20 : x
  2. Step 2: Convert to fraction form
    642,543.40/963,815.10 = 405,116.20/x
  3. Step 3: Cross multiply
    642,543.40x = 963,815.10 × 405,116.20
  4. Step 4: Simplify right side
    642,543.40x = 390,457,110,814.62
  5. Step 5: Solve for x
    x = 390,457,110,814.62/642,543.40
  6. Step 6: Final answer
    x = 607,674.30

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.