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Finding the Fourth Proportional to 774,590,865.89, 1,068,921,412.13 and 422,164,388.93

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Solution

The fourth proportional to 774,590,865.89, 1,068,921,412.13 and 422,164,388.93 is: 582,579,235.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,590,865.89 : 1,068,921,412.13 = 422,164,388.93 : x
  2. Step 2: Convert to fraction form
    774,590,865.89/1,068,921,412.13 = 422,164,388.93/x
  3. Step 3: Cross multiply
    774,590,865.89x = 1,068,921,412.13 × 422,164,388.93
  4. Step 4: Simplify right side
    774,590,865.89x = 451,260,554,763,943,296
  5. Step 5: Solve for x
    x = 451,260,554,763,943,296/774,590,865.89
  6. Step 6: Final answer
    x = 582,579,235.87

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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.