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Finding the Fourth Proportional to 398,382.53, 549,767.90 and 217,094.40

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Solution

The fourth proportional to 398,382.53, 549,767.90 and 217,094.40 is: 299,590.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,382.53 : 549,767.90 = 217,094.40 : x
  2. Step 2: Convert to fraction form
    398,382.53/549,767.90 = 217,094.40/x
  3. Step 3: Cross multiply
    398,382.53x = 549,767.90 × 217,094.40
  4. Step 4: Simplify right side
    398,382.53x = 119,351,532,932.50
  5. Step 5: Solve for x
    x = 119,351,532,932.50/398,382.53
  6. Step 6: Final answer
    x = 299,590.28

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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.