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Finding the Fourth Proportional to 312,659.60, 468,989.40 and 135,042.80

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Solution

The fourth proportional to 312,659.60, 468,989.40 and 135,042.80 is: 202,564.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,659.60 : 468,989.40 = 135,042.80 : x
  2. Step 2: Convert to fraction form
    312,659.60/468,989.40 = 135,042.80/x
  3. Step 3: Cross multiply
    312,659.60x = 468,989.40 × 135,042.80
  4. Step 4: Simplify right side
    312,659.60x = 63,333,641,746.32
  5. Step 5: Solve for x
    x = 63,333,641,746.32/312,659.60
  6. Step 6: Final answer
    x = 202,564.20

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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.