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Finding the Fourth Proportional to 400,666, 552,920.16 and 219,379.36

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Solution

The fourth proportional to 400,666, 552,920.16 and 219,379.36 is: 302,744.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,666 : 552,920.16 = 219,379.36 : x
  2. Step 2: Convert to fraction form
    400,666/552,920.16 = 219,379.36/x
  3. Step 3: Cross multiply
    400,666x = 552,920.16 × 219,379.36
  4. Step 4: Simplify right side
    400,666x = 121,299,270,831.90
  5. Step 5: Solve for x
    x = 121,299,270,831.90/400,666
  6. Step 6: Final answer
    x = 302,744.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.