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Finding the Fourth Proportional to 256,104.30, 384,156.45 and 144,129.90

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Solution

The fourth proportional to 256,104.30, 384,156.45 and 144,129.90 is: 216,194.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,104.30 : 384,156.45 = 144,129.90 : x
  2. Step 2: Convert to fraction form
    256,104.30/384,156.45 = 144,129.90/x
  3. Step 3: Cross multiply
    256,104.30x = 384,156.45 × 144,129.90
  4. Step 4: Simplify right side
    256,104.30x = 55,368,430,722.86
  5. Step 5: Solve for x
    x = 55,368,430,722.86/256,104.30
  6. Step 6: Final answer
    x = 216,194.85

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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.