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Finding the Fourth Proportional to 312,614.89, 431,402.91 and 176,645.91

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Solution

The fourth proportional to 312,614.89, 431,402.91 and 176,645.91 is: 243,768.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,614.89 : 431,402.91 = 176,645.91 : x
  2. Step 2: Convert to fraction form
    312,614.89/431,402.91 = 176,645.91/x
  3. Step 3: Cross multiply
    312,614.89x = 431,402.91 × 176,645.91
  4. Step 4: Simplify right side
    312,614.89x = 76,205,558,639.11
  5. Step 5: Solve for x
    x = 76,205,558,639.11/312,614.89
  6. Step 6: Final answer
    x = 243,768.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.