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Finding the Fourth Proportional to 379,919.40, 569,879.10 and 158,274.60

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Solution

The fourth proportional to 379,919.40, 569,879.10 and 158,274.60 is: 237,411.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,919.40 : 569,879.10 = 158,274.60 : x
  2. Step 2: Convert to fraction form
    379,919.40/569,879.10 = 158,274.60/x
  3. Step 3: Cross multiply
    379,919.40x = 569,879.10 × 158,274.60
  4. Step 4: Simplify right side
    379,919.40x = 90,197,386,600.86
  5. Step 5: Solve for x
    x = 90,197,386,600.86/379,919.40
  6. Step 6: Final answer
    x = 237,411.90

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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.