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Finding the Fourth Proportional to 409,437.20, 614,242.20 and 128,982.80

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Solution

The fourth proportional to 409,437.20, 614,242.20 and 128,982.80 is: 193,501.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,437.20 : 614,242.20 = 128,982.80 : x
  2. Step 2: Convert to fraction form
    409,437.20/614,242.20 = 128,982.80/x
  3. Step 3: Cross multiply
    409,437.20x = 614,242.20 × 128,982.80
  4. Step 4: Simplify right side
    409,437.20x = 79,226,678,834.16
  5. Step 5: Solve for x
    x = 79,226,678,834.16/409,437.20
  6. Step 6: Final answer
    x = 193,501.42

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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.