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Finding the Fourth Proportional to 520,298.50, 780,743 and 204,976.84

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Solution

The fourth proportional to 520,298.50, 780,743 and 204,976.84 is: 307,581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,298.50 : 780,743 = 204,976.84 : x
  2. Step 2: Convert to fraction form
    520,298.50/780,743 = 204,976.84/x
  3. Step 3: Cross multiply
    520,298.50x = 780,743 × 204,976.84
  4. Step 4: Simplify right side
    520,298.50x = 160,034,232,992.12
  5. Step 5: Solve for x
    x = 160,034,232,992.12/520,298.50
  6. Step 6: Final answer
    x = 307,581.58

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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.