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Finding the Fourth Proportional to 409,017.62, 613,806.71 and 142,778.18

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Solution

The fourth proportional to 409,017.62, 613,806.71 and 142,778.18 is: 214,265.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,017.62 : 613,806.71 = 142,778.18 : x
  2. Step 2: Convert to fraction form
    409,017.62/613,806.71 = 142,778.18/x
  3. Step 3: Cross multiply
    409,017.62x = 613,806.71 × 142,778.18
  4. Step 4: Simplify right side
    409,017.62x = 87,638,201,142.66
  5. Step 5: Solve for x
    x = 87,638,201,142.66/409,017.62
  6. Step 6: Final answer
    x = 214,265.10

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1.5x scale

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.