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Finding the Fourth Proportional to 610,971.56, 915,231 and 311,440.04

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Solution

The fourth proportional to 610,971.56, 915,231 and 311,440.04 is: 466,534.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,971.56 : 915,231 = 311,440.04 : x
  2. Step 2: Convert to fraction form
    610,971.56/915,231 = 311,440.04/x
  3. Step 3: Cross multiply
    610,971.56x = 915,231 × 311,440.04
  4. Step 4: Simplify right side
    610,971.56x = 285,039,579,249.24
  5. Step 5: Solve for x
    x = 285,039,579,249.24/610,971.56
  6. Step 6: Final answer
    x = 466,534.94

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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.