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Finding the Fourth Proportional to 427,696.84, 641,538.54 and 147,216.52

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Solution

The fourth proportional to 427,696.84, 641,538.54 and 147,216.52 is: 220,822.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,696.84 : 641,538.54 = 147,216.52 : x
  2. Step 2: Convert to fraction form
    427,696.84/641,538.54 = 147,216.52/x
  3. Step 3: Cross multiply
    427,696.84x = 641,538.54 × 147,216.52
  4. Step 4: Simplify right side
    427,696.84x = 94,445,071,304.68
  5. Step 5: Solve for x
    x = 94,445,071,304.68/427,696.84
  6. Step 6: Final answer
    x = 220,822.47

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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.