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Finding the Fourth Proportional to 307,851.30, 461,776.95 and 272,600.10

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Solution

The fourth proportional to 307,851.30, 461,776.95 and 272,600.10 is: 408,900.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,851.30 : 461,776.95 = 272,600.10 : x
  2. Step 2: Convert to fraction form
    307,851.30/461,776.95 = 272,600.10/x
  3. Step 3: Cross multiply
    307,851.30x = 461,776.95 × 272,600.10
  4. Step 4: Simplify right side
    307,851.30x = 125,880,442,747.70
  5. Step 5: Solve for x
    x = 125,880,442,747.70/307,851.30
  6. Step 6: Final answer
    x = 408,900.15

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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.