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Finding the Fourth Proportional to 538,961,036.80, 806,929,900.80 and 523,844,492.80

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Solution

The fourth proportional to 538,961,036.80, 806,929,900.80 and 523,844,492.80 is: 784,297,483.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,961,036.80 : 806,929,900.80 = 523,844,492.80 : x
  2. Step 2: Convert to fraction form
    538,961,036.80/806,929,900.80 = 523,844,492.80/x
  3. Step 3: Cross multiply
    538,961,036.80x = 806,929,900.80 × 523,844,492.80
  4. Step 4: Simplify right side
    538,961,036.80x = 422,705,784,609,730,304
  5. Step 5: Solve for x
    x = 422,705,784,609,730,304/538,961,036.80
  6. Step 6: Final answer
    x = 784,297,483.02

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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.