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Finding the Fourth Proportional to 421,136.31, 631,325.39 and 154,839.90

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Solution

The fourth proportional to 421,136.31, 631,325.39 and 154,839.90 is: 232,120.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,136.31 : 631,325.39 = 154,839.90 : x
  2. Step 2: Convert to fraction form
    421,136.31/631,325.39 = 154,839.90/x
  3. Step 3: Cross multiply
    421,136.31x = 631,325.39 × 154,839.90
  4. Step 4: Simplify right side
    421,136.31x = 97,754,360,255.06
  5. Step 5: Solve for x
    x = 97,754,360,255.06/421,136.31
  6. Step 6: Final answer
    x = 232,120.47

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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.