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Finding the Fourth Proportional to 285,604.68, 428,308.20 and 117,077.16

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Solution

The fourth proportional to 285,604.68, 428,308.20 and 117,077.16 is: 175,575.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,604.68 : 428,308.20 = 117,077.16 : x
  2. Step 2: Convert to fraction form
    285,604.68/428,308.20 = 117,077.16/x
  3. Step 3: Cross multiply
    285,604.68x = 428,308.20 × 117,077.16
  4. Step 4: Simplify right side
    285,604.68x = 50,145,107,660.71
  5. Step 5: Solve for x
    x = 50,145,107,660.71/285,604.68
  6. Step 6: Final answer
    x = 175,575.23

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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.