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Finding the Fourth Proportional to 269,637, 372,098.70 and 148,778.24

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Solution

The fourth proportional to 269,637, 372,098.70 and 148,778.24 is: 205,313.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,637 : 372,098.70 = 148,778.24 : x
  2. Step 2: Convert to fraction form
    269,637/372,098.70 = 148,778.24/x
  3. Step 3: Cross multiply
    269,637x = 372,098.70 × 148,778.24
  4. Step 4: Simplify right side
    269,637x = 55,360,189,692.29
  5. Step 5: Solve for x
    x = 55,360,189,692.29/269,637
  6. Step 6: Final answer
    x = 205,313.77

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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.