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Finding the Fourth Proportional to 465,469.11, 642,127.64 and 398,208.60

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Solution

The fourth proportional to 465,469.11, 642,127.64 and 398,208.60 is: 549,339.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,469.11 : 642,127.64 = 398,208.60 : x
  2. Step 2: Convert to fraction form
    465,469.11/642,127.64 = 398,208.60/x
  3. Step 3: Cross multiply
    465,469.11x = 642,127.64 × 398,208.60
  4. Step 4: Simplify right side
    465,469.11x = 255,700,746,554.66
  5. Step 5: Solve for x
    x = 255,700,746,554.66/465,469.11
  6. Step 6: Final answer
    x = 549,339.88

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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.