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Finding the Fourth Proportional to 473,493.70, 653,213.25 and 289,741.02

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Solution

The fourth proportional to 473,493.70, 653,213.25 and 289,741.02 is: 399,715.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,493.70 : 653,213.25 = 289,741.02 : x
  2. Step 2: Convert to fraction form
    473,493.70/653,213.25 = 289,741.02/x
  3. Step 3: Cross multiply
    473,493.70x = 653,213.25 × 289,741.02
  4. Step 4: Simplify right side
    473,493.70x = 189,262,673,003.44
  5. Step 5: Solve for x
    x = 189,262,673,003.44/473,493.70
  6. Step 6: Final answer
    x = 399,715.29

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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.