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Finding the Fourth Proportional to 307,897.40, 462,191.70 and 238,086.20

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Solution

The fourth proportional to 307,897.40, 462,191.70 and 238,086.20 is: 357,396.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,897.40 : 462,191.70 = 238,086.20 : x
  2. Step 2: Convert to fraction form
    307,897.40/462,191.70 = 238,086.20/x
  3. Step 3: Cross multiply
    307,897.40x = 462,191.70 × 238,086.20
  4. Step 4: Simplify right side
    307,897.40x = 110,041,465,524.54
  5. Step 5: Solve for x
    x = 110,041,465,524.54/307,897.40
  6. Step 6: Final answer
    x = 357,396.54

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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.