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Finding the Fourth Proportional to 408,741.38, 613,210.55 and 128,258.63

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Solution

The fourth proportional to 408,741.38, 613,210.55 and 128,258.63 is: 192,418.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,741.38 : 613,210.55 = 128,258.63 : x
  2. Step 2: Convert to fraction form
    408,741.38/613,210.55 = 128,258.63/x
  3. Step 3: Cross multiply
    408,741.38x = 613,210.55 × 128,258.63
  4. Step 4: Simplify right side
    408,741.38x = 78,649,541,337.20
  5. Step 5: Solve for x
    x = 78,649,541,337.20/408,741.38
  6. Step 6: Final answer
    x = 192,418.84

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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.