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Finding the Fourth Proportional to 428,641.60, 591,561.62 and 237,716.50

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Solution

The fourth proportional to 428,641.60, 591,561.62 and 237,716.50 is: 328,068.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,641.60 : 591,561.62 = 237,716.50 : x
  2. Step 2: Convert to fraction form
    428,641.60/591,561.62 = 237,716.50/x
  3. Step 3: Cross multiply
    428,641.60x = 591,561.62 × 237,716.50
  4. Step 4: Simplify right side
    428,641.60x = 140,623,957,840.73
  5. Step 5: Solve for x
    x = 140,623,957,840.73/428,641.60
  6. Step 6: Final answer
    x = 328,068.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.