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Finding the Fourth Proportional to 398,416.83, 549,799.16 and 217,124.85

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Solution

The fourth proportional to 398,416.83, 549,799.16 and 217,124.85 is: 299,623.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,416.83 : 549,799.16 = 217,124.85 : x
  2. Step 2: Convert to fraction form
    398,416.83/549,799.16 = 217,124.85/x
  3. Step 3: Cross multiply
    398,416.83x = 549,799.16 × 217,124.85
  4. Step 4: Simplify right side
    398,416.83x = 119,375,060,145.13
  5. Step 5: Solve for x
    x = 119,375,060,145.13/398,416.83
  6. Step 6: Final answer
    x = 299,623.54

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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.