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Finding the Fourth Proportional to 309,230.73, 464,004.80 and 147,308.15

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Solution

The fourth proportional to 309,230.73, 464,004.80 and 147,308.15 is: 221,037.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,230.73 : 464,004.80 = 147,308.15 : x
  2. Step 2: Convert to fraction form
    309,230.73/464,004.80 = 147,308.15/x
  3. Step 3: Cross multiply
    309,230.73x = 464,004.80 × 147,308.15
  4. Step 4: Simplify right side
    309,230.73x = 68,351,688,679.12
  5. Step 5: Solve for x
    x = 68,351,688,679.12/309,230.73
  6. Step 6: Final answer
    x = 221,037.83

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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.