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Finding the Fourth Proportional to 429,422,728.80, 644,470,016.40 and 199,420,312.80

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Solution

The fourth proportional to 429,422,728.80, 644,470,016.40 and 199,420,312.80 is: 299,286,469.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,422,728.80 : 644,470,016.40 = 199,420,312.80 : x
  2. Step 2: Convert to fraction form
    429,422,728.80/644,470,016.40 = 199,420,312.80/x
  3. Step 3: Cross multiply
    429,422,728.80x = 644,470,016.40 × 199,420,312.80
  4. Step 4: Simplify right side
    429,422,728.80x = 128,520,412,260,709,136
  5. Step 5: Solve for x
    x = 128,520,412,260,709,136/429,422,728.80
  6. Step 6: Final answer
    x = 299,286,469.12

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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.