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Finding the Fourth Proportional to 285,395.71, 428,059.49 and 75,050.03

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Solution

The fourth proportional to 285,395.71, 428,059.49 and 75,050.03 is: 112,566.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,395.71 : 428,059.49 = 75,050.03 : x
  2. Step 2: Convert to fraction form
    285,395.71/428,059.49 = 75,050.03/x
  3. Step 3: Cross multiply
    285,395.71x = 428,059.49 × 75,050.03
  4. Step 4: Simplify right side
    285,395.71x = 32,125,877,191.03
  5. Step 5: Solve for x
    x = 32,125,877,191.03/285,395.71
  6. Step 6: Final answer
    x = 112,566.08

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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.