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Finding the Fourth Proportional to 400,847.16, 601,269.66 and 164,190

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Solution

The fourth proportional to 400,847.16, 601,269.66 and 164,190 is: 246,284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,847.16 : 601,269.66 = 164,190 : x
  2. Step 2: Convert to fraction form
    400,847.16/601,269.66 = 164,190/x
  3. Step 3: Cross multiply
    400,847.16x = 601,269.66 × 164,190
  4. Step 4: Simplify right side
    400,847.16x = 98,722,465,475.40
  5. Step 5: Solve for x
    x = 98,722,465,475.40/400,847.16
  6. Step 6: Final answer
    x = 246,284.56

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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.