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Finding the Fourth Proportional to 213,862.82, 321,209.42 and 157,480.24

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Solution

The fourth proportional to 213,862.82, 321,209.42 and 157,480.24 is: 236,526.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,862.82 : 321,209.42 = 157,480.24 : x
  2. Step 2: Convert to fraction form
    213,862.82/321,209.42 = 157,480.24/x
  3. Step 3: Cross multiply
    213,862.82x = 321,209.42 × 157,480.24
  4. Step 4: Simplify right side
    213,862.82x = 50,584,136,551.86
  5. Step 5: Solve for x
    x = 50,584,136,551.86/213,862.82
  6. Step 6: Final answer
    x = 236,526.09

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1.5x scale

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.