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Finding the Fourth Proportional to 438,355.80, 657,169.20 and 185,830.20

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Solution

The fourth proportional to 438,355.80, 657,169.20 and 185,830.20 is: 278,590.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,355.80 : 657,169.20 = 185,830.20 : x
  2. Step 2: Convert to fraction form
    438,355.80/657,169.20 = 185,830.20/x
  3. Step 3: Cross multiply
    438,355.80x = 657,169.20 × 185,830.20
  4. Step 4: Simplify right side
    438,355.80x = 122,121,883,869.84
  5. Step 5: Solve for x
    x = 122,121,883,869.84/438,355.80
  6. Step 6: Final answer
    x = 278,590.78

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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.