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Finding the Fourth Proportional to 419,100.64, 578,647.68 and 392,332

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Solution

The fourth proportional to 419,100.64, 578,647.68 and 392,332 is: 541,688.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,100.64 : 578,647.68 = 392,332 : x
  2. Step 2: Convert to fraction form
    419,100.64/578,647.68 = 392,332/x
  3. Step 3: Cross multiply
    419,100.64x = 578,647.68 × 392,332
  4. Step 4: Simplify right side
    419,100.64x = 227,022,001,589.76
  5. Step 5: Solve for x
    x = 227,022,001,589.76/419,100.64
  6. Step 6: Final answer
    x = 541,688.51

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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.