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Finding the Fourth Proportional to 684,355.92, 944,417.28 and 378,453

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Solution

The fourth proportional to 684,355.92, 944,417.28 and 378,453 is: 522,268.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,355.92 : 944,417.28 = 378,453 : x
  2. Step 2: Convert to fraction form
    684,355.92/944,417.28 = 378,453/x
  3. Step 3: Cross multiply
    684,355.92x = 944,417.28 × 378,453
  4. Step 4: Simplify right side
    684,355.92x = 357,417,552,867.84
  5. Step 5: Solve for x
    x = 357,417,552,867.84/684,355.92
  6. Step 6: Final answer
    x = 522,268.52

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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.