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Finding the Fourth Proportional to 265,775.60, 398,125.80 and 165,628.40

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Solution

The fourth proportional to 265,775.60, 398,125.80 and 165,628.40 is: 248,107.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,775.60 : 398,125.80 = 165,628.40 : x
  2. Step 2: Convert to fraction form
    265,775.60/398,125.80 = 165,628.40/x
  3. Step 3: Cross multiply
    265,775.60x = 398,125.80 × 165,628.40
  4. Step 4: Simplify right side
    265,775.60x = 65,940,939,252.72
  5. Step 5: Solve for x
    x = 65,940,939,252.72/265,775.60
  6. Step 6: Final answer
    x = 248,107.57

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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.