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Finding the Fourth Proportional to 423,851.64, 585,172.14 and 280,734.36

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Solution

The fourth proportional to 423,851.64, 585,172.14 and 280,734.36 is: 387,583.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,851.64 : 585,172.14 = 280,734.36 : x
  2. Step 2: Convert to fraction form
    423,851.64/585,172.14 = 280,734.36/x
  3. Step 3: Cross multiply
    423,851.64x = 585,172.14 × 280,734.36
  4. Step 4: Simplify right side
    423,851.64x = 164,277,926,212.73
  5. Step 5: Solve for x
    x = 164,277,926,212.73/423,851.64
  6. Step 6: Final answer
    x = 387,583.56

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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.