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Finding the Fourth Proportional to 260,027.10, 390,040.65 and 147,663.90

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Solution

The fourth proportional to 260,027.10, 390,040.65 and 147,663.90 is: 221,495.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,027.10 : 390,040.65 = 147,663.90 : x
  2. Step 2: Convert to fraction form
    260,027.10/390,040.65 = 147,663.90/x
  3. Step 3: Cross multiply
    260,027.10x = 390,040.65 × 147,663.90
  4. Step 4: Simplify right side
    260,027.10x = 57,594,923,537.54
  5. Step 5: Solve for x
    x = 57,594,923,537.54/260,027.10
  6. Step 6: Final answer
    x = 221,495.85

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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.