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Finding the Fourth Proportional to 398,429.72, 549,816.96 and 217,137.80

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Solution

The fourth proportional to 398,429.72, 549,816.96 and 217,137.80 is: 299,641.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,429.72 : 549,816.96 = 217,137.80 : x
  2. Step 2: Convert to fraction form
    398,429.72/549,816.96 = 217,137.80/x
  3. Step 3: Cross multiply
    398,429.72x = 549,816.96 × 217,137.80
  4. Step 4: Simplify right side
    398,429.72x = 119,386,045,097.09
  5. Step 5: Solve for x
    x = 119,386,045,097.09/398,429.72
  6. Step 6: Final answer
    x = 299,641.42

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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.