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Finding the Fourth Proportional to 494,813.64, 742,250.46 and 139,854.24

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Solution

The fourth proportional to 494,813.64, 742,250.46 and 139,854.24 is: 209,789.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,813.64 : 742,250.46 = 139,854.24 : x
  2. Step 2: Convert to fraction form
    494,813.64/742,250.46 = 139,854.24/x
  3. Step 3: Cross multiply
    494,813.64x = 742,250.46 × 139,854.24
  4. Step 4: Simplify right side
    494,813.64x = 103,806,873,972.95
  5. Step 5: Solve for x
    x = 103,806,873,972.95/494,813.64
  6. Step 6: Final answer
    x = 209,789.84

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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.