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Finding the Fourth Proportional to 387,096.89, 534,202.16 and 212,669.34

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Solution

The fourth proportional to 387,096.89, 534,202.16 and 212,669.34 is: 293,488.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,096.89 : 534,202.16 = 212,669.34 : x
  2. Step 2: Convert to fraction form
    387,096.89/534,202.16 = 212,669.34/x
  3. Step 3: Cross multiply
    387,096.89x = 534,202.16 × 212,669.34
  4. Step 4: Simplify right side
    387,096.89x = 113,608,420,793.77
  5. Step 5: Solve for x
    x = 113,608,420,793.77/387,096.89
  6. Step 6: Final answer
    x = 293,488.33

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1.5x scale

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.