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Finding the Fourth Proportional to 265,782.30, 398,673.45 and 133,071.90

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Solution

The fourth proportional to 265,782.30, 398,673.45 and 133,071.90 is: 199,607.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,782.30 : 398,673.45 = 133,071.90 : x
  2. Step 2: Convert to fraction form
    265,782.30/398,673.45 = 133,071.90/x
  3. Step 3: Cross multiply
    265,782.30x = 398,673.45 × 133,071.90
  4. Step 4: Simplify right side
    265,782.30x = 53,052,233,471.06
  5. Step 5: Solve for x
    x = 53,052,233,471.06/265,782.30
  6. Step 6: Final answer
    x = 199,607.85

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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.