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Finding the Fourth Proportional to 428,159.52, 639,635.16 and 277,169.76

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Solution

The fourth proportional to 428,159.52, 639,635.16 and 277,169.76 is: 414,068.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,159.52 : 639,635.16 = 277,169.76 : x
  2. Step 2: Convert to fraction form
    428,159.52/639,635.16 = 277,169.76/x
  3. Step 3: Cross multiply
    428,159.52x = 639,635.16 × 277,169.76
  4. Step 4: Simplify right side
    428,159.52x = 177,287,523,784.76
  5. Step 5: Solve for x
    x = 177,287,523,784.76/428,159.52
  6. Step 6: Final answer
    x = 414,068.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.