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Finding the Fourth Proportional to 359,846.40, 539,510.40 and 202,123.20

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Solution

The fourth proportional to 359,846.40, 539,510.40 and 202,123.20 is: 303,039.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,846.40 : 539,510.40 = 202,123.20 : x
  2. Step 2: Convert to fraction form
    359,846.40/539,510.40 = 202,123.20/x
  3. Step 3: Cross multiply
    359,846.40x = 539,510.40 × 202,123.20
  4. Step 4: Simplify right side
    359,846.40x = 109,047,568,481.28
  5. Step 5: Solve for x
    x = 109,047,568,481.28/359,846.40
  6. Step 6: Final answer
    x = 303,039.21

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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.