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Finding the Fourth Proportional to 389,864.96, 584,801.76 and 140,549.12

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Solution

The fourth proportional to 389,864.96, 584,801.76 and 140,549.12 is: 210,825.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,864.96 : 584,801.76 = 140,549.12 : x
  2. Step 2: Convert to fraction form
    389,864.96/584,801.76 = 140,549.12/x
  3. Step 3: Cross multiply
    389,864.96x = 584,801.76 × 140,549.12
  4. Step 4: Simplify right side
    389,864.96x = 82,193,372,742.45
  5. Step 5: Solve for x
    x = 82,193,372,742.45/389,864.96
  6. Step 6: Final answer
    x = 210,825.24

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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.