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Finding the Fourth Proportional to 305,972.80, 459,088.80 and 193,739.20

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Solution

The fourth proportional to 305,972.80, 459,088.80 and 193,739.20 is: 290,690.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,972.80 : 459,088.80 = 193,739.20 : x
  2. Step 2: Convert to fraction form
    305,972.80/459,088.80 = 193,739.20/x
  3. Step 3: Cross multiply
    305,972.80x = 459,088.80 × 193,739.20
  4. Step 4: Simplify right side
    305,972.80x = 88,943,496,840.96
  5. Step 5: Solve for x
    x = 88,943,496,840.96/305,972.80
  6. Step 6: Final answer
    x = 290,690.86

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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.