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Finding the Fourth Proportional to 398,376.90, 549,760.13 and 217,088.78

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Solution

The fourth proportional to 398,376.90, 549,760.13 and 217,088.78 is: 299,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,376.90 : 549,760.13 = 217,088.78 : x
  2. Step 2: Convert to fraction form
    398,376.90/549,760.13 = 217,088.78/x
  3. Step 3: Cross multiply
    398,376.90x = 549,760.13 × 217,088.78
  4. Step 4: Simplify right side
    398,376.90x = 119,346,752,894.18
  5. Step 5: Solve for x
    x = 119,346,752,894.18/398,376.90
  6. Step 6: Final answer
    x = 299,582.51

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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.