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Finding the Fourth Proportional to 389,901.30, 584,851.92 and 140,583.30

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Solution

The fourth proportional to 389,901.30, 584,851.92 and 140,583.30 is: 210,874.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,901.30 : 584,851.92 = 140,583.30 : x
  2. Step 2: Convert to fraction form
    389,901.30/584,851.92 = 140,583.30/x
  3. Step 3: Cross multiply
    389,901.30x = 584,851.92 × 140,583.30
  4. Step 4: Simplify right side
    389,901.30x = 82,220,412,924.94
  5. Step 5: Solve for x
    x = 82,220,412,924.94/389,901.30
  6. Step 6: Final answer
    x = 210,874.94

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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.