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Finding the Fourth Proportional to 287,456.77, 431,248.27 and 85,037.03

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Solution

The fourth proportional to 287,456.77, 431,248.27 and 85,037.03 is: 127,574.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,456.77 : 431,248.27 = 85,037.03 : x
  2. Step 2: Convert to fraction form
    287,456.77/431,248.27 = 85,037.03/x
  3. Step 3: Cross multiply
    287,456.77x = 431,248.27 × 85,037.03
  4. Step 4: Simplify right side
    287,456.77x = 36,672,072,073.44
  5. Step 5: Solve for x
    x = 36,672,072,073.44/287,456.77
  6. Step 6: Final answer
    x = 127,574.22

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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.