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Finding the Fourth Proportional to 520,035.66, 780,082.65 and 146,029.50

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Solution

The fourth proportional to 520,035.66, 780,082.65 and 146,029.50 is: 219,052.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,035.66 : 780,082.65 = 146,029.50 : x
  2. Step 2: Convert to fraction form
    520,035.66/780,082.65 = 146,029.50/x
  3. Step 3: Cross multiply
    520,035.66x = 780,082.65 × 146,029.50
  4. Step 4: Simplify right side
    520,035.66x = 113,915,079,338.18
  5. Step 5: Solve for x
    x = 113,915,079,338.18/520,035.66
  6. Step 6: Final answer
    x = 219,052.44

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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.