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Finding the Fourth Proportional to 398,534.34, 549,966.36 and 217,249.80

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Solution

The fourth proportional to 398,534.34, 549,966.36 and 217,249.80 is: 299,798.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,534.34 : 549,966.36 = 217,249.80 : x
  2. Step 2: Convert to fraction form
    398,534.34/549,966.36 = 217,249.80/x
  3. Step 3: Cross multiply
    398,534.34x = 549,966.36 × 217,249.80
  4. Step 4: Simplify right side
    398,534.34x = 119,480,081,716.73
  5. Step 5: Solve for x
    x = 119,480,081,716.73/398,534.34
  6. Step 6: Final answer
    x = 299,798.71

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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.