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Finding the Fourth Proportional to 400,431.48, 600,654.75 and 187,140.87

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Solution

The fourth proportional to 400,431.48, 600,654.75 and 187,140.87 is: 280,714.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,431.48 : 600,654.75 = 187,140.87 : x
  2. Step 2: Convert to fraction form
    400,431.48/600,654.75 = 187,140.87/x
  3. Step 3: Cross multiply
    400,431.48x = 600,654.75 × 187,140.87
  4. Step 4: Simplify right side
    400,431.48x = 112,407,052,484.63
  5. Step 5: Solve for x
    x = 112,407,052,484.63/400,431.48
  6. Step 6: Final answer
    x = 280,714.82

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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.