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Finding the Fourth Proportional to 260,708.32, 390,964.07 and 120,368.53

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Solution

The fourth proportional to 260,708.32, 390,964.07 and 120,368.53 is: 180,507.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,708.32 : 390,964.07 = 120,368.53 : x
  2. Step 2: Convert to fraction form
    260,708.32/390,964.07 = 120,368.53/x
  3. Step 3: Cross multiply
    260,708.32x = 390,964.07 × 120,368.53
  4. Step 4: Simplify right side
    260,708.32x = 47,059,770,501.27
  5. Step 5: Solve for x
    x = 47,059,770,501.27/260,708.32
  6. Step 6: Final answer
    x = 180,507.36

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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.