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Finding the Fourth Proportional to 255,871.59, 383,064 and 148,929.12

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Solution

The fourth proportional to 255,871.59, 383,064 and 148,929.12 is: 222,961.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,871.59 : 383,064 = 148,929.12 : x
  2. Step 2: Convert to fraction form
    255,871.59/383,064 = 148,929.12/x
  3. Step 3: Cross multiply
    255,871.59x = 383,064 × 148,929.12
  4. Step 4: Simplify right side
    255,871.59x = 57,049,384,423.68
  5. Step 5: Solve for x
    x = 57,049,384,423.68/255,871.59
  6. Step 6: Final answer
    x = 222,961.00

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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.