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Finding the Fourth Proportional to 299,535.26, 448,909.08 and 147,815.78

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Solution

The fourth proportional to 299,535.26, 448,909.08 and 147,815.78 is: 221,529.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,535.26 : 448,909.08 = 147,815.78 : x
  2. Step 2: Convert to fraction form
    299,535.26/448,909.08 = 147,815.78/x
  3. Step 3: Cross multiply
    299,535.26x = 448,909.08 × 147,815.78
  4. Step 4: Simplify right side
    299,535.26x = 66,355,845,809.28
  5. Step 5: Solve for x
    x = 66,355,845,809.28/299,535.26
  6. Step 6: Final answer
    x = 221,529.33

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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.