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Finding the Fourth Proportional to 398,420.85, 549,820.77 and 217,132.77

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Solution

The fourth proportional to 398,420.85, 549,820.77 and 217,132.77 is: 299,643.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,420.85 : 549,820.77 = 217,132.77 : x
  2. Step 2: Convert to fraction form
    398,420.85/549,820.77 = 217,132.77/x
  3. Step 3: Cross multiply
    398,420.85x = 549,820.77 × 217,132.77
  4. Step 4: Simplify right side
    398,420.85x = 119,384,106,793.63
  5. Step 5: Solve for x
    x = 119,384,106,793.63/398,420.85
  6. Step 6: Final answer
    x = 299,643.22

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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.