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Finding the Fourth Proportional to 303,429.20, 455,143.80 and 163,461.20

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Solution

The fourth proportional to 303,429.20, 455,143.80 and 163,461.20 is: 245,191.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,429.20 : 455,143.80 = 163,461.20 : x
  2. Step 2: Convert to fraction form
    303,429.20/455,143.80 = 163,461.20/x
  3. Step 3: Cross multiply
    303,429.20x = 455,143.80 × 163,461.20
  4. Step 4: Simplify right side
    303,429.20x = 74,398,351,720.56
  5. Step 5: Solve for x
    x = 74,398,351,720.56/303,429.20
  6. Step 6: Final answer
    x = 245,191.80

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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.