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Finding the Fourth Proportional to 457,812.09, 686,488.37 and 217,854.45

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Solution

The fourth proportional to 457,812.09, 686,488.37 and 217,854.45 is: 326,672.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,812.09 : 686,488.37 = 217,854.45 : x
  2. Step 2: Convert to fraction form
    457,812.09/686,488.37 = 217,854.45/x
  3. Step 3: Cross multiply
    457,812.09x = 686,488.37 × 217,854.45
  4. Step 4: Simplify right side
    457,812.09x = 149,554,545,188.47
  5. Step 5: Solve for x
    x = 149,554,545,188.47/457,812.09
  6. Step 6: Final answer
    x = 326,672.34

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1.5x scale

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.