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Finding the Fourth Proportional to 478,082.80, 717,202.10 and 141,157.51

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Solution

The fourth proportional to 478,082.80, 717,202.10 and 141,157.51 is: 211,759.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,082.80 : 717,202.10 = 141,157.51 : x
  2. Step 2: Convert to fraction form
    478,082.80/717,202.10 = 141,157.51/x
  3. Step 3: Cross multiply
    478,082.80x = 717,202.10 × 141,157.51
  4. Step 4: Simplify right side
    478,082.80x = 101,238,464,194.87
  5. Step 5: Solve for x
    x = 101,238,464,194.87/478,082.80
  6. Step 6: Final answer
    x = 211,759.27

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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.