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Finding the Fourth Proportional to 430,997.80, 646,496.70 and 150,508.84

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Solution

The fourth proportional to 430,997.80, 646,496.70 and 150,508.84 is: 225,763.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,997.80 : 646,496.70 = 150,508.84 : x
  2. Step 2: Convert to fraction form
    430,997.80/646,496.70 = 150,508.84/x
  3. Step 3: Cross multiply
    430,997.80x = 646,496.70 × 150,508.84
  4. Step 4: Simplify right side
    430,997.80x = 97,303,468,380.83
  5. Step 5: Solve for x
    x = 97,303,468,380.83/430,997.80
  6. Step 6: Final answer
    x = 225,763.26

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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.