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Finding the Fourth Proportional to 428,678.76, 643,011.45 and 104,470.56

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Solution

The fourth proportional to 428,678.76, 643,011.45 and 104,470.56 is: 156,704.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,678.76 : 643,011.45 = 104,470.56 : x
  2. Step 2: Convert to fraction form
    428,678.76/643,011.45 = 104,470.56/x
  3. Step 3: Cross multiply
    428,678.76x = 643,011.45 × 104,470.56
  4. Step 4: Simplify right side
    428,678.76x = 67,175,766,267.91
  5. Step 5: Solve for x
    x = 67,175,766,267.91/428,678.76
  6. Step 6: Final answer
    x = 156,704.21

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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.