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Finding the Fourth Proportional to 201,491.80, 302,456.40 and 157,314.40

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Solution

The fourth proportional to 201,491.80, 302,456.40 and 157,314.40 is: 236,142.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,491.80 : 302,456.40 = 157,314.40 : x
  2. Step 2: Convert to fraction form
    201,491.80/302,456.40 = 157,314.40/x
  3. Step 3: Cross multiply
    201,491.80x = 302,456.40 × 157,314.40
  4. Step 4: Simplify right side
    201,491.80x = 47,580,747,092.16
  5. Step 5: Solve for x
    x = 47,580,747,092.16/201,491.80
  6. Step 6: Final answer
    x = 236,142.35

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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.