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Finding the Fourth Proportional to 457,403.40, 686,105.10 and 141,892.20

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Solution

The fourth proportional to 457,403.40, 686,105.10 and 141,892.20 is: 212,838.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,403.40 : 686,105.10 = 141,892.20 : x
  2. Step 2: Convert to fraction form
    457,403.40/686,105.10 = 141,892.20/x
  3. Step 3: Cross multiply
    457,403.40x = 686,105.10 × 141,892.20
  4. Step 4: Simplify right side
    457,403.40x = 97,352,962,070.22
  5. Step 5: Solve for x
    x = 97,352,962,070.22/457,403.40
  6. Step 6: Final answer
    x = 212,838.30

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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.