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Finding the Fourth Proportional to 477,577.82, 658,997.35 and 322,865.54

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Solution

The fourth proportional to 477,577.82, 658,997.35 and 322,865.54 is: 445,513.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,577.82 : 658,997.35 = 322,865.54 : x
  2. Step 2: Convert to fraction form
    477,577.82/658,997.35 = 322,865.54/x
  3. Step 3: Cross multiply
    477,577.82x = 658,997.35 × 322,865.54
  4. Step 4: Simplify right side
    477,577.82x = 212,767,535,266.32
  5. Step 5: Solve for x
    x = 212,767,535,266.32/477,577.82
  6. Step 6: Final answer
    x = 445,513.86

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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.