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Finding the Fourth Proportional to 497,892.45, 746,949.71 and 142,878.80

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Solution

The fourth proportional to 497,892.45, 746,949.71 and 142,878.80 is: 214,350.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,892.45 : 746,949.71 = 142,878.80 : x
  2. Step 2: Convert to fraction form
    497,892.45/746,949.71 = 142,878.80/x
  3. Step 3: Cross multiply
    497,892.45x = 746,949.71 × 142,878.80
  4. Step 4: Simplify right side
    497,892.45x = 106,723,280,449.72
  5. Step 5: Solve for x
    x = 106,723,280,449.72/497,892.45
  6. Step 6: Final answer
    x = 214,350.07

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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.