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Finding the Fourth Proportional to 427,310,437.70, 640,965,656.55 and 398,644,991.30

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Solution

The fourth proportional to 427,310,437.70, 640,965,656.55 and 398,644,991.30 is: 597,967,486.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,310,437.70 : 640,965,656.55 = 398,644,991.30 : x
  2. Step 2: Convert to fraction form
    427,310,437.70/640,965,656.55 = 398,644,991.30/x
  3. Step 3: Cross multiply
    427,310,437.70x = 640,965,656.55 × 398,644,991.30
  4. Step 4: Simplify right side
    427,310,437.70x = 255,517,748,578,973,536
  5. Step 5: Solve for x
    x = 255,517,748,578,973,536/427,310,437.70
  6. Step 6: Final answer
    x = 597,967,486.95

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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.