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Finding the Fourth Proportional to 666,085.86, 999,456.84 and 311,048.28

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Solution

The fourth proportional to 666,085.86, 999,456.84 and 311,048.28 is: 466,725.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,085.86 : 999,456.84 = 311,048.28 : x
  2. Step 2: Convert to fraction form
    666,085.86/999,456.84 = 311,048.28/x
  3. Step 3: Cross multiply
    666,085.86x = 999,456.84 × 311,048.28
  4. Step 4: Simplify right side
    666,085.86x = 310,879,331,016.24
  5. Step 5: Solve for x
    x = 310,879,331,016.24/666,085.86
  6. Step 6: Final answer
    x = 466,725.61

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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.