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Finding the Fourth Proportional to 428,372.40, 642,590.10 and 112,827

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Solution

The fourth proportional to 428,372.40, 642,590.10 and 112,827 is: 169,248.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,372.40 : 642,590.10 = 112,827 : x
  2. Step 2: Convert to fraction form
    428,372.40/642,590.10 = 112,827/x
  3. Step 3: Cross multiply
    428,372.40x = 642,590.10 × 112,827
  4. Step 4: Simplify right side
    428,372.40x = 72,501,513,212.70
  5. Step 5: Solve for x
    x = 72,501,513,212.70/428,372.40
  6. Step 6: Final answer
    x = 169,248.80

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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.