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Finding the Fourth Proportional to 254,468.40, 381,702.60 and 149,492.40

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Solution

The fourth proportional to 254,468.40, 381,702.60 and 149,492.40 is: 224,238.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,468.40 : 381,702.60 = 149,492.40 : x
  2. Step 2: Convert to fraction form
    254,468.40/381,702.60 = 149,492.40/x
  3. Step 3: Cross multiply
    254,468.40x = 381,702.60 × 149,492.40
  4. Step 4: Simplify right side
    254,468.40x = 57,061,637,760.24
  5. Step 5: Solve for x
    x = 57,061,637,760.24/254,468.40
  6. Step 6: Final answer
    x = 224,238.60

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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.