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Finding the Fourth Proportional to 391,204.80, 586,807.20 and 201,664.80

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Solution

The fourth proportional to 391,204.80, 586,807.20 and 201,664.80 is: 302,497.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,204.80 : 586,807.20 = 201,664.80 : x
  2. Step 2: Convert to fraction form
    391,204.80/586,807.20 = 201,664.80/x
  3. Step 3: Cross multiply
    391,204.80x = 586,807.20 × 201,664.80
  4. Step 4: Simplify right side
    391,204.80x = 118,338,356,626.56
  5. Step 5: Solve for x
    x = 118,338,356,626.56/391,204.80
  6. Step 6: Final answer
    x = 302,497.20

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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.