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Finding the Fourth Proportional to 287,765.73, 431,688.02 and 98,175.24

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Solution

The fourth proportional to 287,765.73, 431,688.02 and 98,175.24 is: 147,276.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,765.73 : 431,688.02 = 98,175.24 : x
  2. Step 2: Convert to fraction form
    287,765.73/431,688.02 = 98,175.24/x
  3. Step 3: Cross multiply
    287,765.73x = 431,688.02 × 98,175.24
  4. Step 4: Simplify right side
    287,765.73x = 42,381,074,477.75
  5. Step 5: Solve for x
    x = 42,381,074,477.75/287,765.73
  6. Step 6: Final answer
    x = 147,276.31

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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.