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Finding the Fourth Proportional to 400,546.80, 600,743.64 and 120,064.08

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Solution

The fourth proportional to 400,546.80, 600,743.64 and 120,064.08 is: 180,073.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,546.80 : 600,743.64 = 120,064.08 : x
  2. Step 2: Convert to fraction form
    400,546.80/600,743.64 = 120,064.08/x
  3. Step 3: Cross multiply
    400,546.80x = 600,743.64 × 120,064.08
  4. Step 4: Simplify right side
    400,546.80x = 72,127,732,452.45
  5. Step 5: Solve for x
    x = 72,127,732,452.45/400,546.80
  6. Step 6: Final answer
    x = 180,073.17

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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.