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Finding the Fourth Proportional to 431,839.55, 647,835.55 and 147,463.47

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Solution

The fourth proportional to 431,839.55, 647,835.55 and 147,463.47 is: 221,221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,839.55 : 647,835.55 = 147,463.47 : x
  2. Step 2: Convert to fraction form
    431,839.55/647,835.55 = 147,463.47/x
  3. Step 3: Cross multiply
    431,839.55x = 647,835.55 × 147,463.47
  4. Step 4: Simplify right side
    431,839.55x = 95,532,076,975.60
  5. Step 5: Solve for x
    x = 95,532,076,975.60/431,839.55
  6. Step 6: Final answer
    x = 221,221.23

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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.