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Finding the Fourth Proportional to 398,411.31, 549,791.57 and 217,119.35

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Solution

The fourth proportional to 398,411.31, 549,791.57 and 217,119.35 is: 299,615.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,411.31 : 549,791.57 = 217,119.35 : x
  2. Step 2: Convert to fraction form
    398,411.31/549,791.57 = 217,119.35/x
  3. Step 3: Cross multiply
    398,411.31x = 549,791.57 × 217,119.35
  4. Step 4: Simplify right side
    398,411.31x = 119,370,386,973.90
  5. Step 5: Solve for x
    x = 119,370,386,973.90/398,411.31
  6. Step 6: Final answer
    x = 299,615.96

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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.