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Finding the Fourth Proportional to 260,053.60, 390,134.88 and 147,785.92

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Solution

The fourth proportional to 260,053.60, 390,134.88 and 147,785.92 is: 221,709.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,053.60 : 390,134.88 = 147,785.92 : x
  2. Step 2: Convert to fraction form
    260,053.60/390,134.88 = 147,785.92/x
  3. Step 3: Cross multiply
    260,053.60x = 390,134.88 × 147,785.92
  4. Step 4: Simplify right side
    260,053.60x = 57,656,442,164.89
  5. Step 5: Solve for x
    x = 57,656,442,164.89/260,053.60
  6. Step 6: Final answer
    x = 221,709.84

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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.