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Finding the Fourth Proportional to 256,518.30, 384,777.45 and 69,529.80

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Solution

The fourth proportional to 256,518.30, 384,777.45 and 69,529.80 is: 104,294.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,518.30 : 384,777.45 = 69,529.80 : x
  2. Step 2: Convert to fraction form
    256,518.30/384,777.45 = 69,529.80/x
  3. Step 3: Cross multiply
    256,518.30x = 384,777.45 × 69,529.80
  4. Step 4: Simplify right side
    256,518.30x = 26,753,499,143.01
  5. Step 5: Solve for x
    x = 26,753,499,143.01/256,518.30
  6. Step 6: Final answer
    x = 104,294.70

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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.