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Finding the Fourth Proportional to 666,102.56, 999,404.73 and 400,048.56

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Solution

The fourth proportional to 666,102.56, 999,404.73 and 400,048.56 is: 600,223.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,102.56 : 999,404.73 = 400,048.56 : x
  2. Step 2: Convert to fraction form
    666,102.56/999,404.73 = 400,048.56/x
  3. Step 3: Cross multiply
    666,102.56x = 999,404.73 × 400,048.56
  4. Step 4: Simplify right side
    666,102.56x = 399,810,423,093.69
  5. Step 5: Solve for x
    x = 399,810,423,093.69/666,102.56
  6. Step 6: Final answer
    x = 600,223.52

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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.