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Finding the Fourth Proportional to 473,140.80, 709,711.20 and 379,828.80

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Solution

The fourth proportional to 473,140.80, 709,711.20 and 379,828.80 is: 569,743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,140.80 : 709,711.20 = 379,828.80 : x
  2. Step 2: Convert to fraction form
    473,140.80/709,711.20 = 379,828.80/x
  3. Step 3: Cross multiply
    473,140.80x = 709,711.20 × 379,828.80
  4. Step 4: Simplify right side
    473,140.80x = 269,568,753,442.56
  5. Step 5: Solve for x
    x = 269,568,753,442.56/473,140.80
  6. Step 6: Final answer
    x = 569,743.20

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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.