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Finding the Fourth Proportional to 486,374, 729,564.24 and 153,950

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Solution

The fourth proportional to 486,374, 729,564.24 and 153,950 is: 230,926.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,374 : 729,564.24 = 153,950 : x
  2. Step 2: Convert to fraction form
    486,374/729,564.24 = 153,950/x
  3. Step 3: Cross multiply
    486,374x = 729,564.24 × 153,950
  4. Step 4: Simplify right side
    486,374x = 112,316,414,748
  5. Step 5: Solve for x
    x = 112,316,414,748/486,374
  6. Step 6: Final answer
    x = 230,926.03

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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.