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Finding the Fourth Proportional to 296,871.40, 445,361.10 and 97,136.20

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Solution

The fourth proportional to 296,871.40, 445,361.10 and 97,136.20 is: 145,721.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,871.40 : 445,361.10 = 97,136.20 : x
  2. Step 2: Convert to fraction form
    296,871.40/445,361.10 = 97,136.20/x
  3. Step 3: Cross multiply
    296,871.40x = 445,361.10 × 97,136.20
  4. Step 4: Simplify right side
    296,871.40x = 43,260,684,881.82
  5. Step 5: Solve for x
    x = 43,260,684,881.82/296,871.40
  6. Step 6: Final answer
    x = 145,721.97

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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.