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Finding the Fourth Proportional to 398,411.13, 549,791.33 and 217,119.20

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Solution

The fourth proportional to 398,411.13, 549,791.33 and 217,119.20 is: 299,615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,411.13 : 549,791.33 = 217,119.20 : x
  2. Step 2: Convert to fraction form
    398,411.13/549,791.33 = 217,119.20/x
  3. Step 3: Cross multiply
    398,411.13x = 549,791.33 × 217,119.20
  4. Step 4: Simplify right side
    398,411.13x = 119,370,249,901.98
  5. Step 5: Solve for x
    x = 119,370,249,901.98/398,411.13
  6. Step 6: Final answer
    x = 299,615.75

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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.