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Finding the Fourth Proportional to 254,809.60, 382,117.20 and 77,257.60

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Solution

The fourth proportional to 254,809.60, 382,117.20 and 77,257.60 is: 115,856.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,809.60 : 382,117.20 = 77,257.60 : x
  2. Step 2: Convert to fraction form
    254,809.60/382,117.20 = 77,257.60/x
  3. Step 3: Cross multiply
    254,809.60x = 382,117.20 × 77,257.60
  4. Step 4: Simplify right side
    254,809.60x = 29,521,457,790.72
  5. Step 5: Solve for x
    x = 29,521,457,790.72/254,809.60
  6. Step 6: Final answer
    x = 115,856.93

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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.