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Finding the Fourth Proportional to 774,336,478.82, 1,068,584,494.50 and 421,912,469.52

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Solution

The fourth proportional to 774,336,478.82, 1,068,584,494.50 and 421,912,469.52 is: 582,239,291.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,336,478.82 : 1,068,584,494.50 = 421,912,469.52 : x
  2. Step 2: Convert to fraction form
    774,336,478.82/1,068,584,494.50 = 421,912,469.52/x
  3. Step 3: Cross multiply
    774,336,478.82x = 1,068,584,494.50 × 421,912,469.52
  4. Step 4: Simplify right side
    774,336,478.82x = 450,849,122,965,275,840
  5. Step 5: Solve for x
    x = 450,849,122,965,275,840/774,336,478.82
  6. Step 6: Final answer
    x = 582,239,291.70

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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.