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Finding the Fourth Proportional to 287,430.72, 431,212.92 and 97,892.76

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Solution

The fourth proportional to 287,430.72, 431,212.92 and 97,892.76 is: 146,861.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,430.72 : 431,212.92 = 97,892.76 : x
  2. Step 2: Convert to fraction form
    287,430.72/431,212.92 = 97,892.76/x
  3. Step 3: Cross multiply
    287,430.72x = 431,212.92 × 97,892.76
  4. Step 4: Simplify right side
    287,430.72x = 42,212,622,886.46
  5. Step 5: Solve for x
    x = 42,212,622,886.46/287,430.72
  6. Step 6: Final answer
    x = 146,861.90

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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.