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Finding the Fourth Proportional to 398,112.80, 595,711.20 and 293,136.80

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Solution

The fourth proportional to 398,112.80, 595,711.20 and 293,136.80 is: 438,631.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,112.80 : 595,711.20 = 293,136.80 : x
  2. Step 2: Convert to fraction form
    398,112.80/595,711.20 = 293,136.80/x
  3. Step 3: Cross multiply
    398,112.80x = 595,711.20 × 293,136.80
  4. Step 4: Simplify right side
    398,112.80x = 174,624,874,892.16
  5. Step 5: Solve for x
    x = 174,624,874,892.16/398,112.80
  6. Step 6: Final answer
    x = 438,631.65

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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.