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Finding the Fourth Proportional to 361,851.40, 543,122.70 and 309,320.20

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Solution

The fourth proportional to 361,851.40, 543,122.70 and 309,320.20 is: 464,275.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,851.40 : 543,122.70 = 309,320.20 : x
  2. Step 2: Convert to fraction form
    361,851.40/543,122.70 = 309,320.20/x
  3. Step 3: Cross multiply
    361,851.40x = 543,122.70 × 309,320.20
  4. Step 4: Simplify right side
    361,851.40x = 167,998,822,188.54
  5. Step 5: Solve for x
    x = 167,998,822,188.54/361,851.40
  6. Step 6: Final answer
    x = 464,275.73

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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.