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Finding the Fourth Proportional to 642,406.30, 963,609.45 and 343,807.90

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Solution

The fourth proportional to 642,406.30, 963,609.45 and 343,807.90 is: 515,711.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,406.30 : 963,609.45 = 343,807.90 : x
  2. Step 2: Convert to fraction form
    642,406.30/963,609.45 = 343,807.90/x
  3. Step 3: Cross multiply
    642,406.30x = 963,609.45 × 343,807.90
  4. Step 4: Simplify right side
    642,406.30x = 331,296,541,424.66
  5. Step 5: Solve for x
    x = 331,296,541,424.66/642,406.30
  6. Step 6: Final answer
    x = 515,711.85

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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.