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Finding the Fourth Proportional to 398,296.44, 549,642.18 and 217,009.71

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Solution

The fourth proportional to 398,296.44, 549,642.18 and 217,009.71 is: 299,469.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,296.44 : 549,642.18 = 217,009.71 : x
  2. Step 2: Convert to fraction form
    398,296.44/549,642.18 = 217,009.71/x
  3. Step 3: Cross multiply
    398,296.44x = 549,642.18 × 217,009.71
  4. Step 4: Simplify right side
    398,296.44x = 119,277,690,085.57
  5. Step 5: Solve for x
    x = 119,277,690,085.57/398,296.44
  6. Step 6: Final answer
    x = 299,469.64

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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.