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Finding the Fourth Proportional to 520,210.80, 780,154.20 and 204,764.40

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Solution

The fourth proportional to 520,210.80, 780,154.20 and 204,764.40 is: 307,082.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,210.80 : 780,154.20 = 204,764.40 : x
  2. Step 2: Convert to fraction form
    520,210.80/780,154.20 = 204,764.40/x
  3. Step 3: Cross multiply
    520,210.80x = 780,154.20 × 204,764.40
  4. Step 4: Simplify right side
    520,210.80x = 159,747,806,670.48
  5. Step 5: Solve for x
    x = 159,747,806,670.48/520,210.80
  6. Step 6: Final answer
    x = 307,082.83

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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.