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Finding the Fourth Proportional to 287,887.96, 431,819.70 and 98,365.32

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Solution

The fourth proportional to 287,887.96, 431,819.70 and 98,365.32 is: 147,543.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,887.96 : 431,819.70 = 98,365.32 : x
  2. Step 2: Convert to fraction form
    287,887.96/431,819.70 = 98,365.32/x
  3. Step 3: Cross multiply
    287,887.96x = 431,819.70 × 98,365.32
  4. Step 4: Simplify right side
    287,887.96x = 42,476,082,972.80
  5. Step 5: Solve for x
    x = 42,476,082,972.80/287,887.96
  6. Step 6: Final answer
    x = 147,543.80

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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.