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Finding the Fourth Proportional to 578,301.40, 866,285.70 and 328,691.80

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Solution

The fourth proportional to 578,301.40, 866,285.70 and 328,691.80 is: 492,374.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,301.40 : 866,285.70 = 328,691.80 : x
  2. Step 2: Convert to fraction form
    578,301.40/866,285.70 = 328,691.80/x
  3. Step 3: Cross multiply
    578,301.40x = 866,285.70 × 328,691.80
  4. Step 4: Simplify right side
    578,301.40x = 284,741,006,047.26
  5. Step 5: Solve for x
    x = 284,741,006,047.26/578,301.40
  6. Step 6: Final answer
    x = 492,374.75

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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.