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Finding the Fourth Proportional to 256,124.40, 353,286.72 and 155,522.40

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Solution

The fourth proportional to 256,124.40, 353,286.72 and 155,522.40 is: 214,520.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,124.40 : 353,286.72 = 155,522.40 : x
  2. Step 2: Convert to fraction form
    256,124.40/353,286.72 = 155,522.40/x
  3. Step 3: Cross multiply
    256,124.40x = 353,286.72 × 155,522.40
  4. Step 4: Simplify right side
    256,124.40x = 54,943,998,582.53
  5. Step 5: Solve for x
    x = 54,943,998,582.53/256,124.40
  6. Step 6: Final answer
    x = 214,520.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.