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Finding the Fourth Proportional to 307,946.80, 461,920.20 and 83,341.90

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Solution

The fourth proportional to 307,946.80, 461,920.20 and 83,341.90 is: 125,012.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,946.80 : 461,920.20 = 83,341.90 : x
  2. Step 2: Convert to fraction form
    307,946.80/461,920.20 = 83,341.90/x
  3. Step 3: Cross multiply
    307,946.80x = 461,920.20 × 83,341.90
  4. Step 4: Simplify right side
    307,946.80x = 38,497,307,116.38
  5. Step 5: Solve for x
    x = 38,497,307,116.38/307,946.80
  6. Step 6: Final answer
    x = 125,012.85

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1.5x scale

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.