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Finding the Fourth Proportional to 308,291.22, 462,121.51 and 156,206.57

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Solution

The fourth proportional to 308,291.22, 462,121.51 and 156,206.57 is: 234,150.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,291.22 : 462,121.51 = 156,206.57 : x
  2. Step 2: Convert to fraction form
    308,291.22/462,121.51 = 156,206.57/x
  3. Step 3: Cross multiply
    308,291.22x = 462,121.51 × 156,206.57
  4. Step 4: Simplify right side
    308,291.22x = 72,186,416,000.32
  5. Step 5: Solve for x
    x = 72,186,416,000.32/308,291.22
  6. Step 6: Final answer
    x = 234,150.09

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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.