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Finding the Fourth Proportional to 520,121.40, 780,182.10 and 307,231.80

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Solution

The fourth proportional to 520,121.40, 780,182.10 and 307,231.80 is: 460,847.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,121.40 : 780,182.10 = 307,231.80 : x
  2. Step 2: Convert to fraction form
    520,121.40/780,182.10 = 307,231.80/x
  3. Step 3: Cross multiply
    520,121.40x = 780,182.10 × 307,231.80
  4. Step 4: Simplify right side
    520,121.40x = 239,696,750,910.78
  5. Step 5: Solve for x
    x = 239,696,750,910.78/520,121.40
  6. Step 6: Final answer
    x = 460,847.70

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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.