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Finding the Fourth Proportional to 307,660.80, 461,145.60 and 157,843.20

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Solution

The fourth proportional to 307,660.80, 461,145.60 and 157,843.20 is: 236,587.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,660.80 : 461,145.60 = 157,843.20 : x
  2. Step 2: Convert to fraction form
    307,660.80/461,145.60 = 157,843.20/x
  3. Step 3: Cross multiply
    307,660.80x = 461,145.60 × 157,843.20
  4. Step 4: Simplify right side
    307,660.80x = 72,788,697,169.92
  5. Step 5: Solve for x
    x = 72,788,697,169.92/307,660.80
  6. Step 6: Final answer
    x = 236,587.49

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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.