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Finding the Fourth Proportional to 265,810.99, 398,662.10 and 76,220.56

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Solution

The fourth proportional to 265,810.99, 398,662.10 and 76,220.56 is: 114,315.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,810.99 : 398,662.10 = 76,220.56 : x
  2. Step 2: Convert to fraction form
    265,810.99/398,662.10 = 76,220.56/x
  3. Step 3: Cross multiply
    265,810.99x = 398,662.10 × 76,220.56
  4. Step 4: Simplify right side
    265,810.99x = 30,386,246,138.36
  5. Step 5: Solve for x
    x = 30,386,246,138.36/265,810.99
  6. Step 6: Final answer
    x = 114,315.24

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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.