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Finding the Fourth Proportional to 563,732.64, 778,199.12 and 394,630.56

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Solution

The fourth proportional to 563,732.64, 778,199.12 and 394,630.56 is: 544,763.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,732.64 : 778,199.12 = 394,630.56 : x
  2. Step 2: Convert to fraction form
    563,732.64/778,199.12 = 394,630.56/x
  3. Step 3: Cross multiply
    563,732.64x = 778,199.12 × 394,630.56
  4. Step 4: Simplify right side
    563,732.64x = 307,101,154,517.11
  5. Step 5: Solve for x
    x = 307,101,154,517.11/563,732.64
  6. Step 6: Final answer
    x = 544,763.83

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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.