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Finding the Fourth Proportional to 398,446.74, 549,842.43 and 217,155.07

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Solution

The fourth proportional to 398,446.74, 549,842.43 and 217,155.07 is: 299,666.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,446.74 : 549,842.43 = 217,155.07 : x
  2. Step 2: Convert to fraction form
    398,446.74/549,842.43 = 217,155.07/x
  3. Step 3: Cross multiply
    398,446.74x = 549,842.43 × 217,155.07
  4. Step 4: Simplify right side
    398,446.74x = 119,401,071,375.62
  5. Step 5: Solve for x
    x = 119,401,071,375.62/398,446.74
  6. Step 6: Final answer
    x = 299,666.33

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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.