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Finding the Fourth Proportional to 398,397.86, 549,769.46 and 217,109.24

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Solution

The fourth proportional to 398,397.86, 549,769.46 and 217,109.24 is: 299,600.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,397.86 : 549,769.46 = 217,109.24 : x
  2. Step 2: Convert to fraction form
    398,397.86/549,769.46 = 217,109.24/x
  3. Step 3: Cross multiply
    398,397.86x = 549,769.46 × 217,109.24
  4. Step 4: Simplify right side
    398,397.86x = 119,360,025,801.42
  5. Step 5: Solve for x
    x = 119,360,025,801.42/398,397.86
  6. Step 6: Final answer
    x = 299,600.07

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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.