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Finding the Fourth Proportional to 253,971.40, 380,957.10 and 128,000.20

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Solution

The fourth proportional to 253,971.40, 380,957.10 and 128,000.20 is: 192,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,971.40 : 380,957.10 = 128,000.20 : x
  2. Step 2: Convert to fraction form
    253,971.40/380,957.10 = 128,000.20/x
  3. Step 3: Cross multiply
    253,971.40x = 380,957.10 × 128,000.20
  4. Step 4: Simplify right side
    253,971.40x = 48,762,584,991.42
  5. Step 5: Solve for x
    x = 48,762,584,991.42/253,971.40
  6. Step 6: Final answer
    x = 192,000.30

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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.