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Finding the Fourth Proportional to 312,473.66, 468,711.09 and 112,934.93

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Solution

The fourth proportional to 312,473.66, 468,711.09 and 112,934.93 is: 169,402.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,473.66 : 468,711.09 = 112,934.93 : x
  2. Step 2: Convert to fraction form
    312,473.66/468,711.09 = 112,934.93/x
  3. Step 3: Cross multiply
    312,473.66x = 468,711.09 × 112,934.93
  4. Step 4: Simplify right side
    312,473.66x = 52,933,851,795.82
  5. Step 5: Solve for x
    x = 52,933,851,795.82/312,473.66
  6. Step 6: Final answer
    x = 169,402.61

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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.