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Finding the Fourth Proportional to 610,496.55, 915,744.83 and 311,898.15

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Solution

The fourth proportional to 610,496.55, 915,744.83 and 311,898.15 is: 467,847.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,496.55 : 915,744.83 = 311,898.15 : x
  2. Step 2: Convert to fraction form
    610,496.55/915,744.83 = 311,898.15/x
  3. Step 3: Cross multiply
    610,496.55x = 915,744.83 × 311,898.15
  4. Step 4: Simplify right side
    610,496.55x = 285,619,116,789.57
  5. Step 5: Solve for x
    x = 285,619,116,789.57/610,496.55
  6. Step 6: Final answer
    x = 467,847.23

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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.