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Finding the Fourth Proportional to 428,519.52, 642,823.05 and 148,000.32

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Solution

The fourth proportional to 428,519.52, 642,823.05 and 148,000.32 is: 222,015.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,519.52 : 642,823.05 = 148,000.32 : x
  2. Step 2: Convert to fraction form
    428,519.52/642,823.05 = 148,000.32/x
  3. Step 3: Cross multiply
    428,519.52x = 642,823.05 × 148,000.32
  4. Step 4: Simplify right side
    428,519.52x = 95,138,017,103.38
  5. Step 5: Solve for x
    x = 95,138,017,103.38/428,519.52
  6. Step 6: Final answer
    x = 222,015.60

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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.