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Finding the Fourth Proportional to 233,143.40, 349,715.10 and 85,380.20

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Solution

The fourth proportional to 233,143.40, 349,715.10 and 85,380.20 is: 128,070.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,143.40 : 349,715.10 = 85,380.20 : x
  2. Step 2: Convert to fraction form
    233,143.40/349,715.10 = 85,380.20/x
  3. Step 3: Cross multiply
    233,143.40x = 349,715.10 × 85,380.20
  4. Step 4: Simplify right side
    233,143.40x = 29,858,745,181.02
  5. Step 5: Solve for x
    x = 29,858,745,181.02/233,143.40
  6. Step 6: Final answer
    x = 128,070.30

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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.