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Finding the Fourth Proportional to 553,398, 763,689.24 and 314,934

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Solution

The fourth proportional to 553,398, 763,689.24 and 314,934 is: 434,608.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,398 : 763,689.24 = 314,934 : x
  2. Step 2: Convert to fraction form
    553,398/763,689.24 = 314,934/x
  3. Step 3: Cross multiply
    553,398x = 763,689.24 × 314,934
  4. Step 4: Simplify right side
    553,398x = 240,511,707,110.16
  5. Step 5: Solve for x
    x = 240,511,707,110.16/553,398
  6. Step 6: Final answer
    x = 434,608.92

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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.