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Finding the Fourth Proportional to 399,146.98, 598,402.50 and 230,475.82

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Solution

The fourth proportional to 399,146.98, 598,402.50 and 230,475.82 is: 345,530.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,146.98 : 598,402.50 = 230,475.82 : x
  2. Step 2: Convert to fraction form
    399,146.98/598,402.50 = 230,475.82/x
  3. Step 3: Cross multiply
    399,146.98x = 598,402.50 × 230,475.82
  4. Step 4: Simplify right side
    399,146.98x = 137,917,306,877.55
  5. Step 5: Solve for x
    x = 137,917,306,877.55/399,146.98
  6. Step 6: Final answer
    x = 345,530.13

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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.