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Finding the Fourth Proportional to 520,092.70, 780,139.05 and 146,115.70

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Solution

The fourth proportional to 520,092.70, 780,139.05 and 146,115.70 is: 219,173.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,092.70 : 780,139.05 = 146,115.70 : x
  2. Step 2: Convert to fraction form
    520,092.70/780,139.05 = 146,115.70/x
  3. Step 3: Cross multiply
    520,092.70x = 780,139.05 × 146,115.70
  4. Step 4: Simplify right side
    520,092.70x = 113,990,563,388.09
  5. Step 5: Solve for x
    x = 113,990,563,388.09/520,092.70
  6. Step 6: Final answer
    x = 219,173.55

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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.