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Finding the Fourth Proportional to 401,957.78, 602,729.31 and 165,256.34

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Solution

The fourth proportional to 401,957.78, 602,729.31 and 165,256.34 is: 247,799.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,957.78 : 602,729.31 = 165,256.34 : x
  2. Step 2: Convert to fraction form
    401,957.78/602,729.31 = 165,256.34/x
  3. Step 3: Cross multiply
    401,957.78x = 602,729.31 × 165,256.34
  4. Step 4: Simplify right side
    401,957.78x = 99,604,839,781.33
  5. Step 5: Solve for x
    x = 99,604,839,781.33/401,957.78
  6. Step 6: Final answer
    x = 247,799.26

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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.