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Finding the Fourth Proportional to 265,409.40, 398,891.70 and 260,743.80

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Solution

The fourth proportional to 265,409.40, 398,891.70 and 260,743.80 is: 391,879.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,409.40 : 398,891.70 = 260,743.80 : x
  2. Step 2: Convert to fraction form
    265,409.40/398,891.70 = 260,743.80/x
  3. Step 3: Cross multiply
    265,409.40x = 398,891.70 × 260,743.80
  4. Step 4: Simplify right side
    265,409.40x = 104,008,537,646.46
  5. Step 5: Solve for x
    x = 104,008,537,646.46/265,409.40
  6. Step 6: Final answer
    x = 391,879.63

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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.