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Finding the Fourth Proportional to 398,478.46, 549,896.78 and 217,190.40

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Solution

The fourth proportional to 398,478.46, 549,896.78 and 217,190.40 is: 299,720.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,478.46 : 549,896.78 = 217,190.40 : x
  2. Step 2: Convert to fraction form
    398,478.46/549,896.78 = 217,190.40/x
  3. Step 3: Cross multiply
    398,478.46x = 549,896.78 × 217,190.40
  4. Step 4: Simplify right side
    398,478.46x = 119,432,301,606.91
  5. Step 5: Solve for x
    x = 119,432,301,606.91/398,478.46
  6. Step 6: Final answer
    x = 299,720.85

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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.