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Finding the Fourth Proportional to 279,936,307.20, 419,904,460.80 and 253,151,680.80

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Solution

The fourth proportional to 279,936,307.20, 419,904,460.80 and 253,151,680.80 is: 379,727,521.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,936,307.20 : 419,904,460.80 = 253,151,680.80 : x
  2. Step 2: Convert to fraction form
    279,936,307.20/419,904,460.80 = 253,151,680.80/x
  3. Step 3: Cross multiply
    279,936,307.20x = 419,904,460.80 × 253,151,680.80
  4. Step 4: Simplify right side
    279,936,307.20x = 106,299,520,026,937,728
  5. Step 5: Solve for x
    x = 106,299,520,026,937,728/279,936,307.20
  6. Step 6: Final answer
    x = 379,727,521.20

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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.