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Finding the Fourth Proportional to 538,963.67, 743,582.05 and 345,478.07

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Solution

The fourth proportional to 538,963.67, 743,582.05 and 345,478.07 is: 476,639.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,963.67 : 743,582.05 = 345,478.07 : x
  2. Step 2: Convert to fraction form
    538,963.67/743,582.05 = 345,478.07/x
  3. Step 3: Cross multiply
    538,963.67x = 743,582.05 × 345,478.07
  4. Step 4: Simplify right side
    538,963.67x = 256,891,289,793.25
  5. Step 5: Solve for x
    x = 256,891,289,793.25/538,963.67
  6. Step 6: Final answer
    x = 476,639.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.