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Finding the Fourth Proportional to 260,198.97, 390,032.59 and 147,641.41

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Solution

The fourth proportional to 260,198.97, 390,032.59 and 147,641.41 is: 221,311.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,198.97 : 390,032.59 = 147,641.41 : x
  2. Step 2: Convert to fraction form
    260,198.97/390,032.59 = 147,641.41/x
  3. Step 3: Cross multiply
    260,198.97x = 390,032.59 × 147,641.41
  4. Step 4: Simplify right side
    260,198.97x = 57,584,961,533.55
  5. Step 5: Solve for x
    x = 57,584,961,533.55/260,198.97
  6. Step 6: Final answer
    x = 221,311.26

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1.5x scale

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.