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Finding the Fourth Proportional to 409,385.63, 613,993.86 and 109,794.98

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Solution

The fourth proportional to 409,385.63, 613,993.86 and 109,794.98 is: 164,669.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,385.63 : 613,993.86 = 109,794.98 : x
  2. Step 2: Convert to fraction form
    409,385.63/613,993.86 = 109,794.98/x
  3. Step 3: Cross multiply
    409,385.63x = 613,993.86 × 109,794.98
  4. Step 4: Simplify right side
    409,385.63x = 67,413,445,113.81
  5. Step 5: Solve for x
    x = 67,413,445,113.81/409,385.63
  6. Step 6: Final answer
    x = 164,669.79

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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.