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Finding the Fourth Proportional to 408,758.13, 613,159.06 and 128,297.25

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Solution

The fourth proportional to 408,758.13, 613,159.06 and 128,297.25 is: 192,452.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,758.13 : 613,159.06 = 128,297.25 : x
  2. Step 2: Convert to fraction form
    408,758.13/613,159.06 = 128,297.25/x
  3. Step 3: Cross multiply
    408,758.13x = 613,159.06 × 128,297.25
  4. Step 4: Simplify right side
    408,758.13x = 78,666,621,210.59
  5. Step 5: Solve for x
    x = 78,666,621,210.59/408,758.13
  6. Step 6: Final answer
    x = 192,452.74

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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.