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Finding the Fourth Proportional to 306,380.88, 459,652.32 and 140,130

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Solution

The fourth proportional to 306,380.88, 459,652.32 and 140,130 is: 210,232.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,380.88 : 459,652.32 = 140,130 : x
  2. Step 2: Convert to fraction form
    306,380.88/459,652.32 = 140,130/x
  3. Step 3: Cross multiply
    306,380.88x = 459,652.32 × 140,130
  4. Step 4: Simplify right side
    306,380.88x = 64,411,079,601.60
  5. Step 5: Solve for x
    x = 64,411,079,601.60/306,380.88
  6. Step 6: Final answer
    x = 210,232.05

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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.