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Finding the Fourth Proportional to 523,261,457.17, 721,873,915.01 and 311,449,520.27

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Solution

The fourth proportional to 523,261,457.17, 721,873,915.01 and 311,449,520.27 is: 429,665,287.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,261,457.17 : 721,873,915.01 = 311,449,520.27 : x
  2. Step 2: Convert to fraction form
    523,261,457.17/721,873,915.01 = 311,449,520.27/x
  3. Step 3: Cross multiply
    523,261,457.17x = 721,873,915.01 × 311,449,520.27
  4. Step 4: Simplify right side
    523,261,457.17x = 224,827,284,523,733,984
  5. Step 5: Solve for x
    x = 224,827,284,523,733,984/523,261,457.17
  6. Step 6: Final answer
    x = 429,665,287.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.