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Finding the Fourth Proportional to 291,911.70, 436,945.95 and 282,695.70

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Solution

The fourth proportional to 291,911.70, 436,945.95 and 282,695.70 is: 423,151.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,911.70 : 436,945.95 = 282,695.70 : x
  2. Step 2: Convert to fraction form
    291,911.70/436,945.95 = 282,695.70/x
  3. Step 3: Cross multiply
    291,911.70x = 436,945.95 × 282,695.70
  4. Step 4: Simplify right side
    291,911.70x = 123,522,741,197.42
  5. Step 5: Solve for x
    x = 123,522,741,197.42/291,911.70
  6. Step 6: Final answer
    x = 423,151.05

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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.