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Finding the Fourth Proportional to 400,605.44, 600,869.12 and 105,117.44

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Solution

The fourth proportional to 400,605.44, 600,869.12 and 105,117.44 is: 157,665.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,605.44 : 600,869.12 = 105,117.44 : x
  2. Step 2: Convert to fraction form
    400,605.44/600,869.12 = 105,117.44/x
  3. Step 3: Cross multiply
    400,605.44x = 600,869.12 × 105,117.44
  4. Step 4: Simplify right side
    400,605.44x = 63,161,823,669.45
  5. Step 5: Solve for x
    x = 63,161,823,669.45/400,605.44
  6. Step 6: Final answer
    x = 157,665.92

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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.