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Finding the Fourth Proportional to 457,709.76, 686,470.80 and 173,302.20

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Solution

The fourth proportional to 457,709.76, 686,470.80 and 173,302.20 is: 259,917.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,709.76 : 686,470.80 = 173,302.20 : x
  2. Step 2: Convert to fraction form
    457,709.76/686,470.80 = 173,302.20/x
  3. Step 3: Cross multiply
    457,709.76x = 686,470.80 × 173,302.20
  4. Step 4: Simplify right side
    457,709.76x = 118,966,899,875.76
  5. Step 5: Solve for x
    x = 118,966,899,875.76/457,709.76
  6. Step 6: Final answer
    x = 259,917.77

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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.