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Finding the Fourth Proportional to 312,683.60, 469,255.80 and 125,829.20

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Solution

The fourth proportional to 312,683.60, 469,255.80 and 125,829.20 is: 188,836.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,683.60 : 469,255.80 = 125,829.20 : x
  2. Step 2: Convert to fraction form
    312,683.60/469,255.80 = 125,829.20/x
  3. Step 3: Cross multiply
    312,683.60x = 469,255.80 × 125,829.20
  4. Step 4: Simplify right side
    312,683.60x = 59,046,081,909.36
  5. Step 5: Solve for x
    x = 59,046,081,909.36/312,683.60
  6. Step 6: Final answer
    x = 188,836.52

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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.