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Finding the Fourth Proportional to 385,065.31, 531,227.41 and 257,781.91

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Solution

The fourth proportional to 385,065.31, 531,227.41 and 257,781.91 is: 355,630.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,065.31 : 531,227.41 = 257,781.91 : x
  2. Step 2: Convert to fraction form
    385,065.31/531,227.41 = 257,781.91/x
  3. Step 3: Cross multiply
    385,065.31x = 531,227.41 × 257,781.91
  4. Step 4: Simplify right side
    385,065.31x = 136,940,814,421.63
  5. Step 5: Solve for x
    x = 136,940,814,421.63/385,065.31
  6. Step 6: Final answer
    x = 355,630.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.