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Finding the Fourth Proportional to 307,862.98, 461,761.98 and 145,718.20

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Solution

The fourth proportional to 307,862.98, 461,761.98 and 145,718.20 is: 218,561.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,862.98 : 461,761.98 = 145,718.20 : x
  2. Step 2: Convert to fraction form
    307,862.98/461,761.98 = 145,718.20/x
  3. Step 3: Cross multiply
    307,862.98x = 461,761.98 × 145,718.20
  4. Step 4: Simplify right side
    307,862.98x = 67,287,124,554.04
  5. Step 5: Solve for x
    x = 67,287,124,554.04/307,862.98
  6. Step 6: Final answer
    x = 218,561.92

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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.