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Finding the Fourth Proportional to 256,074.40, 384,111.60 and 130,103.20

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Solution

The fourth proportional to 256,074.40, 384,111.60 and 130,103.20 is: 195,154.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,074.40 : 384,111.60 = 130,103.20 : x
  2. Step 2: Convert to fraction form
    256,074.40/384,111.60 = 130,103.20/x
  3. Step 3: Cross multiply
    256,074.40x = 384,111.60 × 130,103.20
  4. Step 4: Simplify right side
    256,074.40x = 49,974,148,317.12
  5. Step 5: Solve for x
    x = 49,974,148,317.12/256,074.40
  6. Step 6: Final answer
    x = 195,154.80

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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.