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Finding the Fourth Proportional to 343,119.60, 514,679.40 and 254,546.10

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Solution

The fourth proportional to 343,119.60, 514,679.40 and 254,546.10 is: 381,819.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,119.60 : 514,679.40 = 254,546.10 : x
  2. Step 2: Convert to fraction form
    343,119.60/514,679.40 = 254,546.10/x
  3. Step 3: Cross multiply
    343,119.60x = 514,679.40 × 254,546.10
  4. Step 4: Simplify right side
    343,119.60x = 131,009,634,020.34
  5. Step 5: Solve for x
    x = 131,009,634,020.34/343,119.60
  6. Step 6: Final answer
    x = 381,819.15

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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.