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Finding the Fourth Proportional to 260,564.85, 390,584.14 and 125,430.46

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Solution

The fourth proportional to 260,564.85, 390,584.14 and 125,430.46 is: 188,019.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,564.85 : 390,584.14 = 125,430.46 : x
  2. Step 2: Convert to fraction form
    260,564.85/390,584.14 = 125,430.46/x
  3. Step 3: Cross multiply
    260,564.85x = 390,584.14 × 125,430.46
  4. Step 4: Simplify right side
    260,564.85x = 48,991,147,058.87
  5. Step 5: Solve for x
    x = 48,991,147,058.87/260,564.85
  6. Step 6: Final answer
    x = 188,019.02

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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.