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Finding the Fourth Proportional to 358,405.20, 537,607.80 and 147,934.80

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Solution

The fourth proportional to 358,405.20, 537,607.80 and 147,934.80 is: 221,902.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,405.20 : 537,607.80 = 147,934.80 : x
  2. Step 2: Convert to fraction form
    358,405.20/537,607.80 = 147,934.80/x
  3. Step 3: Cross multiply
    358,405.20x = 537,607.80 × 147,934.80
  4. Step 4: Simplify right side
    358,405.20x = 79,530,902,371.44
  5. Step 5: Solve for x
    x = 79,530,902,371.44/358,405.20
  6. Step 6: Final answer
    x = 221,902.20

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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.