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Finding the Fourth Proportional to 553,107.96, 763,057.26 and 338,179.32

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Solution

The fourth proportional to 553,107.96, 763,057.26 and 338,179.32 is: 466,545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,107.96 : 763,057.26 = 338,179.32 : x
  2. Step 2: Convert to fraction form
    553,107.96/763,057.26 = 338,179.32/x
  3. Step 3: Cross multiply
    553,107.96x = 763,057.26 × 338,179.32
  4. Step 4: Simplify right side
    553,107.96x = 258,050,185,307.86
  5. Step 5: Solve for x
    x = 258,050,185,307.86/553,107.96
  6. Step 6: Final answer
    x = 466,545.78

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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.