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Finding the Fourth Proportional to 259,296, 389,009.60 and 72,307.52

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Solution

The fourth proportional to 259,296, 389,009.60 and 72,307.52 is: 108,479.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,296 : 389,009.60 = 72,307.52 : x
  2. Step 2: Convert to fraction form
    259,296/389,009.60 = 72,307.52/x
  3. Step 3: Cross multiply
    259,296x = 389,009.60 × 72,307.52
  4. Step 4: Simplify right side
    259,296x = 28,128,319,432.19
  5. Step 5: Solve for x
    x = 28,128,319,432.19/259,296
  6. Step 6: Final answer
    x = 108,479.57

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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.