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Finding the Fourth Proportional to 350,098.80, 523,981.80 and 308,108.40

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Solution

The fourth proportional to 350,098.80, 523,981.80 and 308,108.40 is: 461,136.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,098.80 : 523,981.80 = 308,108.40 : x
  2. Step 2: Convert to fraction form
    350,098.80/523,981.80 = 308,108.40/x
  3. Step 3: Cross multiply
    350,098.80x = 523,981.80 × 308,108.40
  4. Step 4: Simplify right side
    350,098.80x = 161,443,194,027.12
  5. Step 5: Solve for x
    x = 161,443,194,027.12/350,098.80
  6. Step 6: Final answer
    x = 461,136.10

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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.