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Finding the Fourth Proportional to 260,209.40, 359,079.78 and 147,029.72

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Solution

The fourth proportional to 260,209.40, 359,079.78 and 147,029.72 is: 202,895.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,209.40 : 359,079.78 = 147,029.72 : x
  2. Step 2: Convert to fraction form
    260,209.40/359,079.78 = 147,029.72/x
  3. Step 3: Cross multiply
    260,209.40x = 359,079.78 × 147,029.72
  4. Step 4: Simplify right side
    260,209.40x = 52,795,399,511.06
  5. Step 5: Solve for x
    x = 52,795,399,511.06/260,209.40
  6. Step 6: Final answer
    x = 202,895.82

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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.