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Finding the Fourth Proportional to 265,295.12, 398,015.40 and 78,306.56

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Solution

The fourth proportional to 265,295.12, 398,015.40 and 78,306.56 is: 117,481.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,295.12 : 398,015.40 = 78,306.56 : x
  2. Step 2: Convert to fraction form
    265,295.12/398,015.40 = 78,306.56/x
  3. Step 3: Cross multiply
    265,295.12x = 398,015.40 × 78,306.56
  4. Step 4: Simplify right side
    265,295.12x = 31,167,216,801.02
  5. Step 5: Solve for x
    x = 31,167,216,801.02/265,295.12
  6. Step 6: Final answer
    x = 117,481.30

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1.5x scale

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.