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Finding the Fourth Proportional to 340,274.56, 510,489.30 and 103,635.70

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Solution

The fourth proportional to 340,274.56, 510,489.30 and 103,635.70 is: 155,477.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,274.56 : 510,489.30 = 103,635.70 : x
  2. Step 2: Convert to fraction form
    340,274.56/510,489.30 = 103,635.70/x
  3. Step 3: Cross multiply
    340,274.56x = 510,489.30 × 103,635.70
  4. Step 4: Simplify right side
    340,274.56x = 52,904,915,948.01
  5. Step 5: Solve for x
    x = 52,904,915,948.01/340,274.56
  6. Step 6: Final answer
    x = 155,477.14

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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.