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Finding the Fourth Proportional to 287,561.72, 431,321.68 and 98,006.36

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Solution

The fourth proportional to 287,561.72, 431,321.68 and 98,006.36 is: 147,002.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,561.72 : 431,321.68 = 98,006.36 : x
  2. Step 2: Convert to fraction form
    287,561.72/431,321.68 = 98,006.36/x
  3. Step 3: Cross multiply
    287,561.72x = 431,321.68 × 98,006.36
  4. Step 4: Simplify right side
    287,561.72x = 42,272,267,845.88
  5. Step 5: Solve for x
    x = 42,272,267,845.88/287,561.72
  6. Step 6: Final answer
    x = 147,002.42

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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.