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Finding the Fourth Proportional to 285,698.83, 428,504.46 and 75,353.17

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Solution

The fourth proportional to 285,698.83, 428,504.46 and 75,353.17 is: 113,018.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,698.83 : 428,504.46 = 75,353.17 : x
  2. Step 2: Convert to fraction form
    285,698.83/428,504.46 = 75,353.17/x
  3. Step 3: Cross multiply
    285,698.83x = 428,504.46 × 75,353.17
  4. Step 4: Simplify right side
    285,698.83x = 32,289,169,420.14
  5. Step 5: Solve for x
    x = 32,289,169,420.14/285,698.83
  6. Step 6: Final answer
    x = 113,018.21

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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.