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Finding the Fourth Proportional to 288,013.96, 397,478.37 and 160,692.31

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Solution

The fourth proportional to 288,013.96, 397,478.37 and 160,692.31 is: 221,766.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,013.96 : 397,478.37 = 160,692.31 : x
  2. Step 2: Convert to fraction form
    288,013.96/397,478.37 = 160,692.31/x
  3. Step 3: Cross multiply
    288,013.96x = 397,478.37 × 160,692.31
  4. Step 4: Simplify right side
    288,013.96x = 63,871,717,450.33
  5. Step 5: Solve for x
    x = 63,871,717,450.33/288,013.96
  6. Step 6: Final answer
    x = 221,766.05

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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.