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Finding the Fourth Proportional to 578,282.40, 866,257.20 and 328,672.80

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Solution

The fourth proportional to 578,282.40, 866,257.20 and 328,672.80 is: 492,346.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,282.40 : 866,257.20 = 328,672.80 : x
  2. Step 2: Convert to fraction form
    578,282.40/866,257.20 = 328,672.80/x
  3. Step 3: Cross multiply
    578,282.40x = 866,257.20 × 328,672.80
  4. Step 4: Simplify right side
    578,282.40x = 284,715,179,444.16
  5. Step 5: Solve for x
    x = 284,715,179,444.16/578,282.40
  6. Step 6: Final answer
    x = 492,346.26

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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.