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Finding the Fourth Proportional to 302,748, 417,805.20 and 168,612

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Solution

The fourth proportional to 302,748, 417,805.20 and 168,612 is: 232,691.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,748 : 417,805.20 = 168,612 : x
  2. Step 2: Convert to fraction form
    302,748/417,805.20 = 168,612/x
  3. Step 3: Cross multiply
    302,748x = 417,805.20 × 168,612
  4. Step 4: Simplify right side
    302,748x = 70,446,970,382.40
  5. Step 5: Solve for x
    x = 70,446,970,382.40/302,748
  6. Step 6: Final answer
    x = 232,691.78

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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.