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Finding the Fourth Proportional to 348,874.60, 523,311.90 and 86,218.60

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Solution

The fourth proportional to 348,874.60, 523,311.90 and 86,218.60 is: 129,327.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,874.60 : 523,311.90 = 86,218.60 : x
  2. Step 2: Convert to fraction form
    348,874.60/523,311.90 = 86,218.60/x
  3. Step 3: Cross multiply
    348,874.60x = 523,311.90 × 86,218.60
  4. Step 4: Simplify right side
    348,874.60x = 45,119,219,381.34
  5. Step 5: Solve for x
    x = 45,119,219,381.34/348,874.60
  6. Step 6: Final answer
    x = 129,327.90

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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.