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Finding the Fourth Proportional to 664,337.50, 996,496.89 and 309,152.86

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Solution

The fourth proportional to 664,337.50, 996,496.89 and 309,152.86 is: 463,724.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,337.50 : 996,496.89 = 309,152.86 : x
  2. Step 2: Convert to fraction form
    664,337.50/996,496.89 = 309,152.86/x
  3. Step 3: Cross multiply
    664,337.50x = 996,496.89 × 309,152.86
  4. Step 4: Simplify right side
    664,337.50x = 308,069,863,524.61
  5. Step 5: Solve for x
    x = 308,069,863,524.61/664,337.50
  6. Step 6: Final answer
    x = 463,724.93

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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.