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Finding the Fourth Proportional to 265,959.60, 398,936.16 and 76,424.40

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Solution

The fourth proportional to 265,959.60, 398,936.16 and 76,424.40 is: 114,635.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,959.60 : 398,936.16 = 76,424.40 : x
  2. Step 2: Convert to fraction form
    265,959.60/398,936.16 = 76,424.40/x
  3. Step 3: Cross multiply
    265,959.60x = 398,936.16 × 76,424.40
  4. Step 4: Simplify right side
    265,959.60x = 30,488,456,666.30
  5. Step 5: Solve for x
    x = 30,488,456,666.30/265,959.60
  6. Step 6: Final answer
    x = 114,635.67

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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.