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Finding the Fourth Proportional to 402,050.70, 605,965.97 and 346,560.54

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Solution

The fourth proportional to 402,050.70, 605,965.97 and 346,560.54 is: 522,331.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,050.70 : 605,965.97 = 346,560.54 : x
  2. Step 2: Convert to fraction form
    402,050.70/605,965.97 = 346,560.54/x
  3. Step 3: Cross multiply
    402,050.70x = 605,965.97 × 346,560.54
  4. Step 4: Simplify right side
    402,050.70x = 210,003,892,052.02
  5. Step 5: Solve for x
    x = 210,003,892,052.02/402,050.70
  6. Step 6: Final answer
    x = 522,331.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.