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Finding the Fourth Proportional to 265,842.40, 398,626.80 and 78,829.60

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Solution

The fourth proportional to 265,842.40, 398,626.80 and 78,829.60 is: 118,203.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,842.40 : 398,626.80 = 78,829.60 : x
  2. Step 2: Convert to fraction form
    265,842.40/398,626.80 = 78,829.60/x
  3. Step 3: Cross multiply
    265,842.40x = 398,626.80 × 78,829.60
  4. Step 4: Simplify right side
    265,842.40x = 31,423,591,193.28
  5. Step 5: Solve for x
    x = 31,423,591,193.28/265,842.40
  6. Step 6: Final answer
    x = 118,203.84

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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.