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Finding the Fourth Proportional to 398,416.83, 549,799.17 and 217,124.88

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Solution

The fourth proportional to 398,416.83, 549,799.17 and 217,124.88 is: 299,623.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,416.83 : 549,799.17 = 217,124.88 : x
  2. Step 2: Convert to fraction form
    398,416.83/549,799.17 = 217,124.88/x
  3. Step 3: Cross multiply
    398,416.83x = 549,799.17 × 217,124.88
  4. Step 4: Simplify right side
    398,416.83x = 119,375,078,810.35
  5. Step 5: Solve for x
    x = 119,375,078,810.35/398,416.83
  6. Step 6: Final answer
    x = 299,623.58

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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.