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Finding the Fourth Proportional to 254,777.64, 382,221.42 and 77,298.93

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Solution

The fourth proportional to 254,777.64, 382,221.42 and 77,298.93 is: 115,965.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,777.64 : 382,221.42 = 77,298.93 : x
  2. Step 2: Convert to fraction form
    254,777.64/382,221.42 = 77,298.93/x
  3. Step 3: Cross multiply
    254,777.64x = 382,221.42 × 77,298.93
  4. Step 4: Simplify right side
    254,777.64x = 29,545,306,789.08
  5. Step 5: Solve for x
    x = 29,545,306,789.08/254,777.64
  6. Step 6: Final answer
    x = 115,965.07

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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.