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Finding the Fourth Proportional to 578,384.80, 866,082.75 and 399,023.46

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Solution

The fourth proportional to 578,384.80, 866,082.75 and 399,023.46 is: 597,504.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,384.80 : 866,082.75 = 399,023.46 : x
  2. Step 2: Convert to fraction form
    578,384.80/866,082.75 = 399,023.46/x
  3. Step 3: Cross multiply
    578,384.80x = 866,082.75 × 399,023.46
  4. Step 4: Simplify right side
    578,384.80x = 345,587,334,054.98
  5. Step 5: Solve for x
    x = 345,587,334,054.98/578,384.80
  6. Step 6: Final answer
    x = 597,504.18

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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.