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Finding the Fourth Proportional to 389,985.84, 584,978.92 and 140,667.84

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Solution

The fourth proportional to 389,985.84, 584,978.92 and 140,667.84 is: 211,001.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,985.84 : 584,978.92 = 140,667.84 : x
  2. Step 2: Convert to fraction form
    389,985.84/584,978.92 = 140,667.84/x
  3. Step 3: Cross multiply
    389,985.84x = 584,978.92 × 140,667.84
  4. Step 4: Simplify right side
    389,985.84x = 82,287,721,121.93
  5. Step 5: Solve for x
    x = 82,287,721,121.93/389,985.84
  6. Step 6: Final answer
    x = 211,001.82

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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.