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Finding the Fourth Proportional to 340,086.10, 510,129.15 and 103,428.40

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Solution

The fourth proportional to 340,086.10, 510,129.15 and 103,428.40 is: 155,142.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,086.10 : 510,129.15 = 103,428.40 : x
  2. Step 2: Convert to fraction form
    340,086.10/510,129.15 = 103,428.40/x
  3. Step 3: Cross multiply
    340,086.10x = 510,129.15 × 103,428.40
  4. Step 4: Simplify right side
    340,086.10x = 52,761,841,777.86
  5. Step 5: Solve for x
    x = 52,761,841,777.86/340,086.10
  6. Step 6: Final answer
    x = 155,142.60

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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.