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Finding the Fourth Proportional to 610,969.56, 915,228 and 311,438.04

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Solution

The fourth proportional to 610,969.56, 915,228 and 311,438.04 is: 466,531.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,969.56 : 915,228 = 311,438.04 : x
  2. Step 2: Convert to fraction form
    610,969.56/915,228 = 311,438.04/x
  3. Step 3: Cross multiply
    610,969.56x = 915,228 × 311,438.04
  4. Step 4: Simplify right side
    610,969.56x = 285,036,814,473.12
  5. Step 5: Solve for x
    x = 285,036,814,473.12/610,969.56
  6. Step 6: Final answer
    x = 466,531.94

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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.