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Finding the Fourth Proportional to 302,905.20, 454,357.80 and 78,265.20

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Solution

The fourth proportional to 302,905.20, 454,357.80 and 78,265.20 is: 117,397.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,905.20 : 454,357.80 = 78,265.20 : x
  2. Step 2: Convert to fraction form
    302,905.20/454,357.80 = 78,265.20/x
  3. Step 3: Cross multiply
    302,905.20x = 454,357.80 × 78,265.20
  4. Step 4: Simplify right side
    302,905.20x = 35,560,404,088.56
  5. Step 5: Solve for x
    x = 35,560,404,088.56/302,905.20
  6. Step 6: Final answer
    x = 117,397.80

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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.