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Finding the Fourth Proportional to 312,470.61, 468,706.59 and 112,931.88

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Solution

The fourth proportional to 312,470.61, 468,706.59 and 112,931.88 is: 169,398.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,470.61 : 468,706.59 = 112,931.88 : x
  2. Step 2: Convert to fraction form
    312,470.61/468,706.59 = 112,931.88/x
  3. Step 3: Cross multiply
    312,470.61x = 468,706.59 × 112,931.88
  4. Step 4: Simplify right side
    312,470.61x = 52,931,916,377.09
  5. Step 5: Solve for x
    x = 52,931,916,377.09/312,470.61
  6. Step 6: Final answer
    x = 169,398.06

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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.