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Finding the Fourth Proportional to 642,613.40, 963,920.10 and 493,314.20

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Solution

The fourth proportional to 642,613.40, 963,920.10 and 493,314.20 is: 739,971.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,613.40 : 963,920.10 = 493,314.20 : x
  2. Step 2: Convert to fraction form
    642,613.40/963,920.10 = 493,314.20/x
  3. Step 3: Cross multiply
    642,613.40x = 963,920.10 × 493,314.20
  4. Step 4: Simplify right side
    642,613.40x = 475,515,472,995.42
  5. Step 5: Solve for x
    x = 475,515,472,995.42/642,613.40
  6. Step 6: Final answer
    x = 739,971.30

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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.