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Finding the Fourth Proportional to 666,086.24, 999,457.41 and 311,048.66

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Solution

The fourth proportional to 666,086.24, 999,457.41 and 311,048.66 is: 466,726.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,086.24 : 999,457.41 = 311,048.66 : x
  2. Step 2: Convert to fraction form
    666,086.24/999,457.41 = 311,048.66/x
  3. Step 3: Cross multiply
    666,086.24x = 999,457.41 × 311,048.66
  4. Step 4: Simplify right side
    666,086.24x = 310,879,883,110.28
  5. Step 5: Solve for x
    x = 310,879,883,110.28/666,086.24
  6. Step 6: Final answer
    x = 466,726.18

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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.