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Finding the Fourth Proportional to 400,010.88, 552,032.16 and 218,712

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Solution

The fourth proportional to 400,010.88, 552,032.16 and 218,712 is: 301,831.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,010.88 : 552,032.16 = 218,712 : x
  2. Step 2: Convert to fraction form
    400,010.88/552,032.16 = 218,712/x
  3. Step 3: Cross multiply
    400,010.88x = 552,032.16 × 218,712
  4. Step 4: Simplify right side
    400,010.88x = 120,736,057,777.92
  5. Step 5: Solve for x
    x = 120,736,057,777.92/400,010.88
  6. Step 6: Final answer
    x = 301,831.93

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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.