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Finding the Fourth Proportional to 291,919.20, 436,957.20 and 282,703.20

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Solution

The fourth proportional to 291,919.20, 436,957.20 and 282,703.20 is: 423,162.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,919.20 : 436,957.20 = 282,703.20 : x
  2. Step 2: Convert to fraction form
    291,919.20/436,957.20 = 282,703.20/x
  3. Step 3: Cross multiply
    291,919.20x = 436,957.20 × 282,703.20
  4. Step 4: Simplify right side
    291,919.20x = 123,529,198,703.04
  5. Step 5: Solve for x
    x = 123,529,198,703.04/291,919.20
  6. Step 6: Final answer
    x = 423,162.30

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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.