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Finding the Fourth Proportional to 684,659.28, 944,756.94 and 378,687

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Solution

The fourth proportional to 684,659.28, 944,756.94 and 378,687 is: 522,547.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,659.28 : 944,756.94 = 378,687 : x
  2. Step 2: Convert to fraction form
    684,659.28/944,756.94 = 378,687/x
  3. Step 3: Cross multiply
    684,659.28x = 944,756.94 × 378,687
  4. Step 4: Simplify right side
    684,659.28x = 357,767,171,337.78
  5. Step 5: Solve for x
    x = 357,767,171,337.78/684,659.28
  6. Step 6: Final answer
    x = 522,547.76

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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.