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Finding the Fourth Proportional to 398,472.57, 549,892.58 and 217,184.65

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Solution

The fourth proportional to 398,472.57, 549,892.58 and 217,184.65 is: 299,715.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,472.57 : 549,892.58 = 217,184.65 : x
  2. Step 2: Convert to fraction form
    398,472.57/549,892.58 = 217,184.65/x
  3. Step 3: Cross multiply
    398,472.57x = 549,892.58 × 217,184.65
  4. Step 4: Simplify right side
    398,472.57x = 119,428,225,064.24
  5. Step 5: Solve for x
    x = 119,428,225,064.24/398,472.57
  6. Step 6: Final answer
    x = 299,715.05

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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.