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Finding the Fourth Proportional to 457,911.69, 686,900.33 and 120,948.98

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Solution

The fourth proportional to 457,911.69, 686,900.33 and 120,948.98 is: 181,432.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,911.69 : 686,900.33 = 120,948.98 : x
  2. Step 2: Convert to fraction form
    457,911.69/686,900.33 = 120,948.98/x
  3. Step 3: Cross multiply
    457,911.69x = 686,900.33 × 120,948.98
  4. Step 4: Simplify right side
    457,911.69x = 83,079,894,275.16
  5. Step 5: Solve for x
    x = 83,079,894,275.16/457,911.69
  6. Step 6: Final answer
    x = 181,432.13

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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.