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Finding the Fourth Proportional to 398,119.80, 595,721.70 and 293,143.80

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Solution

The fourth proportional to 398,119.80, 595,721.70 and 293,143.80 is: 438,642.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,119.80 : 595,721.70 = 293,143.80 : x
  2. Step 2: Convert to fraction form
    398,119.80/595,721.70 = 293,143.80/x
  3. Step 3: Cross multiply
    398,119.80x = 595,721.70 × 293,143.80
  4. Step 4: Simplify right side
    398,119.80x = 174,632,122,880.46
  5. Step 5: Solve for x
    x = 174,632,122,880.46/398,119.80
  6. Step 6: Final answer
    x = 438,642.14

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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.