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Finding the Fourth Proportional to 415,280.60, 622,998.50 and 285,994.62

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Solution

The fourth proportional to 415,280.60, 622,998.50 and 285,994.62 is: 429,045.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,280.60 : 622,998.50 = 285,994.62 : x
  2. Step 2: Convert to fraction form
    415,280.60/622,998.50 = 285,994.62/x
  3. Step 3: Cross multiply
    415,280.60x = 622,998.50 × 285,994.62
  4. Step 4: Simplify right side
    415,280.60x = 178,174,220,174.34
  5. Step 5: Solve for x
    x = 178,174,220,174.34/415,280.60
  6. Step 6: Final answer
    x = 429,045.37

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1.5x scale

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.