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Finding the Fourth Proportional to 284,462,679.60, 426,694,019.40 and 212,799,063.60

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Solution

The fourth proportional to 284,462,679.60, 426,694,019.40 and 212,799,063.60 is: 319,198,595.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,462,679.60 : 426,694,019.40 = 212,799,063.60 : x
  2. Step 2: Convert to fraction form
    284,462,679.60/426,694,019.40 = 212,799,063.60/x
  3. Step 3: Cross multiply
    284,462,679.60x = 426,694,019.40 × 212,799,063.60
  4. Step 4: Simplify right side
    284,462,679.60x = 90,800,087,772,040,224
  5. Step 5: Solve for x
    x = 90,800,087,772,040,224/284,462,679.60
  6. Step 6: Final answer
    x = 319,198,595.40

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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.