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Finding the Fourth Proportional to 255,509.87, 382,974.17 and 155,449.50

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Solution

The fourth proportional to 255,509.87, 382,974.17 and 155,449.50 is: 232,997.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,509.87 : 382,974.17 = 155,449.50 : x
  2. Step 2: Convert to fraction form
    255,509.87/382,974.17 = 155,449.50/x
  3. Step 3: Cross multiply
    255,509.87x = 382,974.17 × 155,449.50
  4. Step 4: Simplify right side
    255,509.87x = 59,533,142,462.17
  5. Step 5: Solve for x
    x = 59,533,142,462.17/255,509.87
  6. Step 6: Final answer
    x = 232,997.43

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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.