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Finding the Fourth Proportional to 684,626.64, 944,712.07 and 378,654.40

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Solution

The fourth proportional to 684,626.64, 944,712.07 and 378,654.40 is: 522,502.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,626.64 : 944,712.07 = 378,654.40 : x
  2. Step 2: Convert to fraction form
    684,626.64/944,712.07 = 378,654.40/x
  3. Step 3: Cross multiply
    684,626.64x = 944,712.07 × 378,654.40
  4. Step 4: Simplify right side
    684,626.64x = 357,719,382,038.61
  5. Step 5: Solve for x
    x = 357,719,382,038.61/684,626.64
  6. Step 6: Final answer
    x = 522,502.87

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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.