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Finding the Fourth Proportional to 342,419.60, 513,629.40 and 120,774.80

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Solution

The fourth proportional to 342,419.60, 513,629.40 and 120,774.80 is: 181,162.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,419.60 : 513,629.40 = 120,774.80 : x
  2. Step 2: Convert to fraction form
    342,419.60/513,629.40 = 120,774.80/x
  3. Step 3: Cross multiply
    342,419.60x = 513,629.40 × 120,774.80
  4. Step 4: Simplify right side
    342,419.60x = 62,033,488,059.12
  5. Step 5: Solve for x
    x = 62,033,488,059.12/342,419.60
  6. Step 6: Final answer
    x = 181,162.20

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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.