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Finding the Fourth Proportional to 385,297.43, 578,044.55 and 148,576.55

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Solution

The fourth proportional to 385,297.43, 578,044.55 and 148,576.55 is: 222,902.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,297.43 : 578,044.55 = 148,576.55 : x
  2. Step 2: Convert to fraction form
    385,297.43/578,044.55 = 148,576.55/x
  3. Step 3: Cross multiply
    385,297.43x = 578,044.55 × 148,576.55
  4. Step 4: Simplify right side
    385,297.43x = 85,883,862,466.52
  5. Step 5: Solve for x
    x = 85,883,862,466.52/385,297.43
  6. Step 6: Final answer
    x = 222,902.77

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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.