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Finding the Fourth Proportional to 201,474.80, 302,430.90 and 157,297.40

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Solution

The fourth proportional to 201,474.80, 302,430.90 and 157,297.40 is: 236,116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,474.80 : 302,430.90 = 157,297.40 : x
  2. Step 2: Convert to fraction form
    201,474.80/302,430.90 = 157,297.40/x
  3. Step 3: Cross multiply
    201,474.80x = 302,430.90 × 157,297.40
  4. Step 4: Simplify right side
    201,474.80x = 47,571,594,249.66
  5. Step 5: Solve for x
    x = 47,571,594,249.66/201,474.80
  6. Step 6: Final answer
    x = 236,116.85

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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.