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Finding the Fourth Proportional to 520,026.70, 780,040.05 and 204,493.90

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Solution

The fourth proportional to 520,026.70, 780,040.05 and 204,493.90 is: 306,740.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,026.70 : 780,040.05 = 204,493.90 : x
  2. Step 2: Convert to fraction form
    520,026.70/780,040.05 = 204,493.90/x
  3. Step 3: Cross multiply
    520,026.70x = 780,040.05 × 204,493.90
  4. Step 4: Simplify right side
    520,026.70x = 159,513,431,980.70
  5. Step 5: Solve for x
    x = 159,513,431,980.70/520,026.70
  6. Step 6: Final answer
    x = 306,740.85

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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.