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Finding the Fourth Proportional to 457,632.96, 686,405.76 and 280,048.56

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Solution

The fourth proportional to 457,632.96, 686,405.76 and 280,048.56 is: 420,046.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,632.96 : 686,405.76 = 280,048.56 : x
  2. Step 2: Convert to fraction form
    457,632.96/686,405.76 = 280,048.56/x
  3. Step 3: Cross multiply
    457,632.96x = 686,405.76 × 280,048.56
  4. Step 4: Simplify right side
    457,632.96x = 192,226,944,663.71
  5. Step 5: Solve for x
    x = 192,226,944,663.71/457,632.96
  6. Step 6: Final answer
    x = 420,046.11

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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.