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Finding the Fourth Proportional to 393,854.81, 590,906.14 and 140,962.88

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Solution

The fourth proportional to 393,854.81, 590,906.14 and 140,962.88 is: 211,488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,854.81 : 590,906.14 = 140,962.88 : x
  2. Step 2: Convert to fraction form
    393,854.81/590,906.14 = 140,962.88/x
  3. Step 3: Cross multiply
    393,854.81x = 590,906.14 × 140,962.88
  4. Step 4: Simplify right side
    393,854.81x = 83,295,830,599.27
  5. Step 5: Solve for x
    x = 83,295,830,599.27/393,854.81
  6. Step 6: Final answer
    x = 211,488.67

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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.