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Finding the Fourth Proportional to 389,701.80, 584,443.35 and 123,543.90

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Solution

The fourth proportional to 389,701.80, 584,443.35 and 123,543.90 is: 185,281.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,701.80 : 584,443.35 = 123,543.90 : x
  2. Step 2: Convert to fraction form
    389,701.80/584,443.35 = 123,543.90/x
  3. Step 3: Cross multiply
    389,701.80x = 584,443.35 × 123,543.90
  4. Step 4: Simplify right side
    389,701.80x = 72,204,410,788.07
  5. Step 5: Solve for x
    x = 72,204,410,788.07/389,701.80
  6. Step 6: Final answer
    x = 185,281.18

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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.