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Finding the Fourth Proportional to 497,713.20, 746,569.80 and 298,647.60

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Solution

The fourth proportional to 497,713.20, 746,569.80 and 298,647.60 is: 447,971.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,713.20 : 746,569.80 = 298,647.60 : x
  2. Step 2: Convert to fraction form
    497,713.20/746,569.80 = 298,647.60/x
  3. Step 3: Cross multiply
    497,713.20x = 746,569.80 × 298,647.60
  4. Step 4: Simplify right side
    497,713.20x = 222,961,279,002.48
  5. Step 5: Solve for x
    x = 222,961,279,002.48/497,713.20
  6. Step 6: Final answer
    x = 447,971.40

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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.