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Finding the Fourth Proportional to 647,381,338.49, 893,468,070.66 and 424,550,489.15

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Solution

The fourth proportional to 647,381,338.49, 893,468,070.66 and 424,550,489.15 is: 585,933,334.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,381,338.49 : 893,468,070.66 = 424,550,489.15 : x
  2. Step 2: Convert to fraction form
    647,381,338.49/893,468,070.66 = 424,550,489.15/x
  3. Step 3: Cross multiply
    647,381,338.49x = 893,468,070.66 × 424,550,489.15
  4. Step 4: Simplify right side
    647,381,338.49x = 379,322,306,434,142,400
  5. Step 5: Solve for x
    x = 379,322,306,434,142,400/647,381,338.49
  6. Step 6: Final answer
    x = 585,933,334.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.