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Finding the Fourth Proportional to 305,354.79, 457,847.49 and 136,844.01

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Solution

The fourth proportional to 305,354.79, 457,847.49 and 136,844.01 is: 205,183.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,354.79 : 457,847.49 = 136,844.01 : x
  2. Step 2: Convert to fraction form
    305,354.79/457,847.49 = 136,844.01/x
  3. Step 3: Cross multiply
    305,354.79x = 457,847.49 × 136,844.01
  4. Step 4: Simplify right side
    305,354.79x = 62,653,686,500.03
  5. Step 5: Solve for x
    x = 62,653,686,500.03/305,354.79
  6. Step 6: Final answer
    x = 205,183.24

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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.