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Finding the Fourth Proportional to 240,458, 360,452.60 and 100,256.72

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Solution

The fourth proportional to 240,458, 360,452.60 and 100,256.72 is: 150,287.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,458 : 360,452.60 = 100,256.72 : x
  2. Step 2: Convert to fraction form
    240,458/360,452.60 = 100,256.72/x
  3. Step 3: Cross multiply
    240,458x = 360,452.60 × 100,256.72
  4. Step 4: Simplify right side
    240,458x = 36,137,795,391.47
  5. Step 5: Solve for x
    x = 36,137,795,391.47/240,458
  6. Step 6: Final answer
    x = 150,287.35

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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.