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Finding the Fourth Proportional to 318,906,000.10, 478,359,000.15 and 76,568,904.10

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Solution

The fourth proportional to 318,906,000.10, 478,359,000.15 and 76,568,904.10 is: 114,853,356.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,906,000.10 : 478,359,000.15 = 76,568,904.10 : x
  2. Step 2: Convert to fraction form
    318,906,000.10/478,359,000.15 = 76,568,904.10/x
  3. Step 3: Cross multiply
    318,906,000.10x = 478,359,000.15 × 76,568,904.10
  4. Step 4: Simplify right side
    318,906,000.10x = 36,627,424,407,857,232
  5. Step 5: Solve for x
    x = 36,627,424,407,857,232/318,906,000.10
  6. Step 6: Final answer
    x = 114,853,356.15

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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.