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Finding the Fourth Proportional to 398,508.70, 549,925.46 and 217,216.65

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Solution

The fourth proportional to 398,508.70, 549,925.46 and 217,216.65 is: 299,749.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,508.70 : 549,925.46 = 217,216.65 : x
  2. Step 2: Convert to fraction form
    398,508.70/549,925.46 = 217,216.65/x
  3. Step 3: Cross multiply
    398,508.70x = 549,925.46 × 217,216.65
  4. Step 4: Simplify right side
    398,508.70x = 119,452,966,170.91
  5. Step 5: Solve for x
    x = 119,452,966,170.91/398,508.70
  6. Step 6: Final answer
    x = 299,749.96

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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.