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Finding the Fourth Proportional to 653,003.70, 978,193.35 and 440,427.30

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Solution

The fourth proportional to 653,003.70, 978,193.35 and 440,427.30 is: 659,755.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,003.70 : 978,193.35 = 440,427.30 : x
  2. Step 2: Convert to fraction form
    653,003.70/978,193.35 = 440,427.30/x
  3. Step 3: Cross multiply
    653,003.70x = 978,193.35 × 440,427.30
  4. Step 4: Simplify right side
    653,003.70x = 430,823,056,018.46
  5. Step 5: Solve for x
    x = 430,823,056,018.46/653,003.70
  6. Step 6: Final answer
    x = 659,755.92

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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.