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Finding the Fourth Proportional to 684,656.28, 944,752.80 and 378,684

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Solution

The fourth proportional to 684,656.28, 944,752.80 and 378,684 is: 522,543.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,656.28 : 944,752.80 = 378,684 : x
  2. Step 2: Convert to fraction form
    684,656.28/944,752.80 = 378,684/x
  3. Step 3: Cross multiply
    684,656.28x = 944,752.80 × 378,684
  4. Step 4: Simplify right side
    684,656.28x = 357,762,769,315.20
  5. Step 5: Solve for x
    x = 357,762,769,315.20/684,656.28
  6. Step 6: Final answer
    x = 522,543.62

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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.