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Finding the Fourth Proportional to 684,513.92, 944,250 and 398,002.32

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Solution

The fourth proportional to 684,513.92, 944,250 and 398,002.32 is: 549,022.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,513.92 : 944,250 = 398,002.32 : x
  2. Step 2: Convert to fraction form
    684,513.92/944,250 = 398,002.32/x
  3. Step 3: Cross multiply
    684,513.92x = 944,250 × 398,002.32
  4. Step 4: Simplify right side
    684,513.92x = 375,813,690,660
  5. Step 5: Solve for x
    x = 375,813,690,660/684,513.92
  6. Step 6: Final answer
    x = 549,022.71

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1.5x scale

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.