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Finding the Fourth Proportional to 398,909.52, 598,587.75 and 211,916.16

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Solution

The fourth proportional to 398,909.52, 598,587.75 and 211,916.16 is: 317,992.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,909.52 : 598,587.75 = 211,916.16 : x
  2. Step 2: Convert to fraction form
    398,909.52/598,587.75 = 211,916.16/x
  3. Step 3: Cross multiply
    398,909.52x = 598,587.75 × 211,916.16
  4. Step 4: Simplify right side
    398,909.52x = 126,850,417,403.04
  5. Step 5: Solve for x
    x = 126,850,417,403.04/398,909.52
  6. Step 6: Final answer
    x = 317,992.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.