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Finding the Fourth Proportional to 265,429.90, 398,922.45 and 260,764.30

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Solution

The fourth proportional to 265,429.90, 398,922.45 and 260,764.30 is: 391,910.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,429.90 : 398,922.45 = 260,764.30 : x
  2. Step 2: Convert to fraction form
    265,429.90/398,922.45 = 260,764.30/x
  3. Step 3: Cross multiply
    265,429.90x = 398,922.45 × 260,764.30
  4. Step 4: Simplify right side
    265,429.90x = 104,024,733,428.54
  5. Step 5: Solve for x
    x = 104,024,733,428.54/265,429.90
  6. Step 6: Final answer
    x = 391,910.38

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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.