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Finding the Fourth Proportional to 398,478, 549,896.08 and 217,189.92

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Solution

The fourth proportional to 398,478, 549,896.08 and 217,189.92 is: 299,720.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,478 : 549,896.08 = 217,189.92 : x
  2. Step 2: Convert to fraction form
    398,478/549,896.08 = 217,189.92/x
  3. Step 3: Cross multiply
    398,478x = 549,896.08 × 217,189.92
  4. Step 4: Simplify right side
    398,478x = 119,431,885,623.51
  5. Step 5: Solve for x
    x = 119,431,885,623.51/398,478
  6. Step 6: Final answer
    x = 299,720.15

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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.