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Finding the Fourth Proportional to 398,403.90, 549,789.98 and 217,117.08

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Solution

The fourth proportional to 398,403.90, 549,789.98 and 217,117.08 is: 299,617.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,403.90 : 549,789.98 = 217,117.08 : x
  2. Step 2: Convert to fraction form
    398,403.90/549,789.98 = 217,117.08/x
  3. Step 3: Cross multiply
    398,403.90x = 549,789.98 × 217,117.08
  4. Step 4: Simplify right side
    398,403.90x = 119,368,795,070.86
  5. Step 5: Solve for x
    x = 119,368,795,070.86/398,403.90
  6. Step 6: Final answer
    x = 299,617.54

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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.