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Finding the Fourth Proportional to 314,711.67, 472,134.78 and 101,491.74

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Solution

The fourth proportional to 314,711.67, 472,134.78 and 101,491.74 is: 152,259.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,711.67 : 472,134.78 = 101,491.74 : x
  2. Step 2: Convert to fraction form
    314,711.67/472,134.78 = 101,491.74/x
  3. Step 3: Cross multiply
    314,711.67x = 472,134.78 × 101,491.74
  4. Step 4: Simplify right side
    314,711.67x = 47,917,780,336.72
  5. Step 5: Solve for x
    x = 47,917,780,336.72/314,711.67
  6. Step 6: Final answer
    x = 152,259.31

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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.