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Finding the Fourth Proportional to 260,013.70, 390,150.15 and 147,780.10

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Solution

The fourth proportional to 260,013.70, 390,150.15 and 147,780.10 is: 221,743.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,013.70 : 390,150.15 = 147,780.10 : x
  2. Step 2: Convert to fraction form
    260,013.70/390,150.15 = 147,780.10/x
  3. Step 3: Cross multiply
    260,013.70x = 390,150.15 × 147,780.10
  4. Step 4: Simplify right side
    260,013.70x = 57,656,428,182.02
  5. Step 5: Solve for x
    x = 57,656,428,182.02/260,013.70
  6. Step 6: Final answer
    x = 221,743.81

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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.