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Finding the Fourth Proportional to 309,560.34, 464,340.62 and 204,354.71

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Solution

The fourth proportional to 309,560.34, 464,340.62 and 204,354.71 is: 306,532.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,560.34 : 464,340.62 = 204,354.71 : x
  2. Step 2: Convert to fraction form
    309,560.34/464,340.62 = 204,354.71/x
  3. Step 3: Cross multiply
    309,560.34x = 464,340.62 × 204,354.71
  4. Step 4: Simplify right side
    309,560.34x = 94,890,192,741.32
  5. Step 5: Solve for x
    x = 94,890,192,741.32/309,560.34
  6. Step 6: Final answer
    x = 306,532.14

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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.