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Finding the Fourth Proportional to 499,949.72, 690,252.54 and 446,142.23

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Solution

The fourth proportional to 499,949.72, 690,252.54 and 446,142.23 is: 615,963.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,949.72 : 690,252.54 = 446,142.23 : x
  2. Step 2: Convert to fraction form
    499,949.72/690,252.54 = 446,142.23/x
  3. Step 3: Cross multiply
    499,949.72x = 690,252.54 × 446,142.23
  4. Step 4: Simplify right side
    499,949.72x = 307,950,807,458.76
  5. Step 5: Solve for x
    x = 307,950,807,458.76/499,949.72
  6. Step 6: Final answer
    x = 615,963.56

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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.