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Finding the Fourth Proportional to 287,874.54, 431,861.01 and 98,324.51

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Solution

The fourth proportional to 287,874.54, 431,861.01 and 98,324.51 is: 147,503.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,874.54 : 431,861.01 = 98,324.51 : x
  2. Step 2: Convert to fraction form
    287,874.54/431,861.01 = 98,324.51/x
  3. Step 3: Cross multiply
    287,874.54x = 431,861.01 × 98,324.51
  4. Step 4: Simplify right side
    287,874.54x = 42,462,520,037.05
  5. Step 5: Solve for x
    x = 42,462,520,037.05/287,874.54
  6. Step 6: Final answer
    x = 147,503.56

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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.