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Finding the Fourth Proportional to 340,314.19, 510,471.44 and 140,414.86

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Solution

The fourth proportional to 340,314.19, 510,471.44 and 140,414.86 is: 210,622.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,314.19 : 510,471.44 = 140,414.86 : x
  2. Step 2: Convert to fraction form
    340,314.19/510,471.44 = 140,414.86/x
  3. Step 3: Cross multiply
    340,314.19x = 510,471.44 × 140,414.86
  4. Step 4: Simplify right side
    340,314.19x = 71,677,775,781.60
  5. Step 5: Solve for x
    x = 71,677,775,781.60/340,314.19
  6. Step 6: Final answer
    x = 210,622.35

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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.