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Finding the Fourth Proportional to 665,658,433.50, 998,623,832.31 and 228,902,395.92

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Solution

The fourth proportional to 665,658,433.50, 998,623,832.31 and 228,902,395.92 is: 343,400,423.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,658,433.50 : 998,623,832.31 = 228,902,395.92 : x
  2. Step 2: Convert to fraction form
    665,658,433.50/998,623,832.31 = 228,902,395.92/x
  3. Step 3: Cross multiply
    665,658,433.50x = 998,623,832.31 × 228,902,395.92
  4. Step 4: Simplify right side
    665,658,433.50x = 228,587,387,838,571,296
  5. Step 5: Solve for x
    x = 228,587,387,838,571,296/665,658,433.50
  6. Step 6: Final answer
    x = 343,400,423.30

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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.