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Finding the Fourth Proportional to 401,544.78, 554,121.80 and 229,451.83

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Solution

The fourth proportional to 401,544.78, 554,121.80 and 229,451.83 is: 316,637.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,544.78 : 554,121.80 = 229,451.83 : x
  2. Step 2: Convert to fraction form
    401,544.78/554,121.80 = 229,451.83/x
  3. Step 3: Cross multiply
    401,544.78x = 554,121.80 × 229,451.83
  4. Step 4: Simplify right side
    401,544.78x = 127,144,261,052.89
  5. Step 5: Solve for x
    x = 127,144,261,052.89/401,544.78
  6. Step 6: Final answer
    x = 316,637.81

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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.