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Finding the Fourth Proportional to 256,849.64, 384,752.22 and 209,633

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Solution

The fourth proportional to 256,849.64, 384,752.22 and 209,633 is: 314,023.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,849.64 : 384,752.22 = 209,633 : x
  2. Step 2: Convert to fraction form
    256,849.64/384,752.22 = 209,633/x
  3. Step 3: Cross multiply
    256,849.64x = 384,752.22 × 209,633
  4. Step 4: Simplify right side
    256,849.64x = 80,656,762,135.26
  5. Step 5: Solve for x
    x = 80,656,762,135.26/256,849.64
  6. Step 6: Final answer
    x = 314,023.26

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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.