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Finding the Fourth Proportional to 285,748.64, 428,580.84 and 75,401.36

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Solution

The fourth proportional to 285,748.64, 428,580.84 and 75,401.36 is: 113,090.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,748.64 : 428,580.84 = 75,401.36 : x
  2. Step 2: Convert to fraction form
    285,748.64/428,580.84 = 75,401.36/x
  3. Step 3: Cross multiply
    285,748.64x = 428,580.84 × 75,401.36
  4. Step 4: Simplify right side
    285,748.64x = 32,315,578,205.94
  5. Step 5: Solve for x
    x = 32,315,578,205.94/285,748.64
  6. Step 6: Final answer
    x = 113,090.93

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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.