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Finding the Fourth Proportional to 435,451.10, 653,175.96 and 285,655.70

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Solution

The fourth proportional to 435,451.10, 653,175.96 and 285,655.70 is: 428,483.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,451.10 : 653,175.96 = 285,655.70 : x
  2. Step 2: Convert to fraction form
    435,451.10/653,175.96 = 285,655.70/x
  3. Step 3: Cross multiply
    435,451.10x = 653,175.96 × 285,655.70
  4. Step 4: Simplify right side
    435,451.10x = 186,583,436,076.97
  5. Step 5: Solve for x
    x = 186,583,436,076.97/435,451.10
  6. Step 6: Final answer
    x = 428,483.10

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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.