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Finding the Fourth Proportional to 265,429.40, 398,921.70 and 260,763.80

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Solution

The fourth proportional to 265,429.40, 398,921.70 and 260,763.80 is: 391,909.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,429.40 : 398,921.70 = 260,763.80 : x
  2. Step 2: Convert to fraction form
    265,429.40/398,921.70 = 260,763.80/x
  3. Step 3: Cross multiply
    265,429.40x = 398,921.70 × 260,763.80
  4. Step 4: Simplify right side
    265,429.40x = 104,024,338,394.46
  5. Step 5: Solve for x
    x = 104,024,338,394.46/265,429.40
  6. Step 6: Final answer
    x = 391,909.63

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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.