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Finding the Fourth Proportional to 520,081.30, 780,231.30 and 295,257.70

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Solution

The fourth proportional to 520,081.30, 780,231.30 and 295,257.70 is: 442,948.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,081.30 : 780,231.30 = 295,257.70 : x
  2. Step 2: Convert to fraction form
    520,081.30/780,231.30 = 295,257.70/x
  3. Step 3: Cross multiply
    520,081.30x = 780,231.30 × 295,257.70
  4. Step 4: Simplify right side
    520,081.30x = 230,369,299,106.01
  5. Step 5: Solve for x
    x = 230,369,299,106.01/520,081.30
  6. Step 6: Final answer
    x = 442,948.63

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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.