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Finding the Fourth Proportional to 287,774.11, 431,587.52 and 85,322.87

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Solution

The fourth proportional to 287,774.11, 431,587.52 and 85,322.87 is: 127,962.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,774.11 : 431,587.52 = 85,322.87 : x
  2. Step 2: Convert to fraction form
    287,774.11/431,587.52 = 85,322.87/x
  3. Step 3: Cross multiply
    287,774.11x = 431,587.52 × 85,322.87
  4. Step 4: Simplify right side
    287,774.11x = 36,824,285,862.58
  5. Step 5: Solve for x
    x = 36,824,285,862.58/287,774.11
  6. Step 6: Final answer
    x = 127,962.47

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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.