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Finding the Fourth Proportional to 508,271.40, 762,407.10 and 192,711.60

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Solution

The fourth proportional to 508,271.40, 762,407.10 and 192,711.60 is: 289,067.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,271.40 : 762,407.10 = 192,711.60 : x
  2. Step 2: Convert to fraction form
    508,271.40/762,407.10 = 192,711.60/x
  3. Step 3: Cross multiply
    508,271.40x = 762,407.10 × 192,711.60
  4. Step 4: Simplify right side
    508,271.40x = 146,924,692,092.36
  5. Step 5: Solve for x
    x = 146,924,692,092.36/508,271.40
  6. Step 6: Final answer
    x = 289,067.40

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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.