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Finding the Fourth Proportional to 428,430.64, 641,857.72 and 268,476.76

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Solution

The fourth proportional to 428,430.64, 641,857.72 and 268,476.76 is: 402,221.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,430.64 : 641,857.72 = 268,476.76 : x
  2. Step 2: Convert to fraction form
    428,430.64/641,857.72 = 268,476.76/x
  3. Step 3: Cross multiply
    428,430.64x = 641,857.72 × 268,476.76
  4. Step 4: Simplify right side
    428,430.64x = 172,323,881,046.59
  5. Step 5: Solve for x
    x = 172,323,881,046.59/428,430.64
  6. Step 6: Final answer
    x = 402,221.19

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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.