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Finding the Fourth Proportional to 355,123.20, 532,684.80 and 144,652.80

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Solution

The fourth proportional to 355,123.20, 532,684.80 and 144,652.80 is: 216,979.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,123.20 : 532,684.80 = 144,652.80 : x
  2. Step 2: Convert to fraction form
    355,123.20/532,684.80 = 144,652.80/x
  3. Step 3: Cross multiply
    355,123.20x = 532,684.80 × 144,652.80
  4. Step 4: Simplify right side
    355,123.20x = 77,054,347,837.44
  5. Step 5: Solve for x
    x = 77,054,347,837.44/355,123.20
  6. Step 6: Final answer
    x = 216,979.20

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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.