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Finding the Fourth Proportional to 328,012,902.70, 492,025,186.05 and 97,984,825.90

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Solution

The fourth proportional to 328,012,902.70, 492,025,186.05 and 97,984,825.90 is: 146,978,981.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,012,902.70 : 492,025,186.05 = 97,984,825.90 : x
  2. Step 2: Convert to fraction form
    328,012,902.70/492,025,186.05 = 97,984,825.90/x
  3. Step 3: Cross multiply
    328,012,902.70x = 492,025,186.05 × 97,984,825.90
  4. Step 4: Simplify right side
    328,012,902.70x = 48,211,002,193,524,360
  5. Step 5: Solve for x
    x = 48,211,002,193,524,360/328,012,902.70
  6. Step 6: Final answer
    x = 146,978,981.00

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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.