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Finding the Fourth Proportional to 486,464,363.64, 730,860,647.85 and 311,929,351.20

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Solution

The fourth proportional to 486,464,363.64, 730,860,647.85 and 311,929,351.20 is: 468,640,469.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,464,363.64 : 730,860,647.85 = 311,929,351.20 : x
  2. Step 2: Convert to fraction form
    486,464,363.64/730,860,647.85 = 311,929,351.20/x
  3. Step 3: Cross multiply
    486,464,363.64x = 730,860,647.85 × 311,929,351.20
  4. Step 4: Simplify right side
    486,464,363.64x = 227,976,887,701,462,176
  5. Step 5: Solve for x
    x = 227,976,887,701,462,176/486,464,363.64
  6. Step 6: Final answer
    x = 468,640,469.36

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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.