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Finding the Fourth Proportional to 256,590, 354,105.14 and 143,412.75

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Solution

The fourth proportional to 256,590, 354,105.14 and 143,412.75 is: 197,915.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,590 : 354,105.14 = 143,412.75 : x
  2. Step 2: Convert to fraction form
    256,590/354,105.14 = 143,412.75/x
  3. Step 3: Cross multiply
    256,590x = 354,105.14 × 143,412.75
  4. Step 4: Simplify right side
    256,590x = 50,783,191,199.47
  5. Step 5: Solve for x
    x = 50,783,191,199.47/256,590
  6. Step 6: Final answer
    x = 197,915.71

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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.