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Finding the Fourth Proportional to 312,661.60, 468,992.40 and 135,044.80

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Solution

The fourth proportional to 312,661.60, 468,992.40 and 135,044.80 is: 202,567.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,661.60 : 468,992.40 = 135,044.80 : x
  2. Step 2: Convert to fraction form
    312,661.60/468,992.40 = 135,044.80/x
  3. Step 3: Cross multiply
    312,661.60x = 468,992.40 × 135,044.80
  4. Step 4: Simplify right side
    312,661.60x = 63,334,984,859.52
  5. Step 5: Solve for x
    x = 63,334,984,859.52/312,661.60
  6. Step 6: Final answer
    x = 202,567.20

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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.