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Finding the Fourth Proportional to 408,869.60, 613,333.20 and 231,461.60

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Solution

The fourth proportional to 408,869.60, 613,333.20 and 231,461.60 is: 347,208.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,869.60 : 613,333.20 = 231,461.60 : x
  2. Step 2: Convert to fraction form
    408,869.60/613,333.20 = 231,461.60/x
  3. Step 3: Cross multiply
    408,869.60x = 613,333.20 × 231,461.60
  4. Step 4: Simplify right side
    408,869.60x = 141,963,083,805.12
  5. Step 5: Solve for x
    x = 141,963,083,805.12/408,869.60
  6. Step 6: Final answer
    x = 347,208.70

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1.5x scale

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.