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Finding the Fourth Proportional to 310,081.20, 465,121.80 and 215,602.80

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Solution

The fourth proportional to 310,081.20, 465,121.80 and 215,602.80 is: 323,404.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,081.20 : 465,121.80 = 215,602.80 : x
  2. Step 2: Convert to fraction form
    310,081.20/465,121.80 = 215,602.80/x
  3. Step 3: Cross multiply
    310,081.20x = 465,121.80 × 215,602.80
  4. Step 4: Simplify right side
    310,081.20x = 100,281,562,421.04
  5. Step 5: Solve for x
    x = 100,281,562,421.04/310,081.20
  6. Step 6: Final answer
    x = 323,404.20

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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.