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Finding the Fourth Proportional to 426,492,005.70, 639,738,008.55 and 349,007,907.90

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Solution

The fourth proportional to 426,492,005.70, 639,738,008.55 and 349,007,907.90 is: 523,511,861.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,492,005.70 : 639,738,008.55 = 349,007,907.90 : x
  2. Step 2: Convert to fraction form
    426,492,005.70/639,738,008.55 = 349,007,907.90/x
  3. Step 3: Cross multiply
    426,492,005.70x = 639,738,008.55 × 349,007,907.90
  4. Step 4: Simplify right side
    426,492,005.70x = 223,273,623,968,147,776
  5. Step 5: Solve for x
    x = 223,273,623,968,147,776/426,492,005.70
  6. Step 6: Final answer
    x = 523,511,861.85

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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.