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Finding the Fourth Proportional to 286,158.80, 428,892.60 and 145,845.20

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Solution

The fourth proportional to 286,158.80, 428,892.60 and 145,845.20 is: 218,591.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,158.80 : 428,892.60 = 145,845.20 : x
  2. Step 2: Convert to fraction form
    286,158.80/428,892.60 = 145,845.20/x
  3. Step 3: Cross multiply
    286,158.80x = 428,892.60 × 145,845.20
  4. Step 4: Simplify right side
    286,158.80x = 62,551,927,025.52
  5. Step 5: Solve for x
    x = 62,551,927,025.52/286,158.80
  6. Step 6: Final answer
    x = 218,591.66

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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.