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Finding the Fourth Proportional to 289,859.31, 400,026.33 and 160,839.07

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Solution

The fourth proportional to 289,859.31, 400,026.33 and 160,839.07 is: 221,969.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,859.31 : 400,026.33 = 160,839.07 : x
  2. Step 2: Convert to fraction form
    289,859.31/400,026.33 = 160,839.07/x
  3. Step 3: Cross multiply
    289,859.31x = 400,026.33 × 160,839.07
  4. Step 4: Simplify right side
    289,859.31x = 64,339,861,892.65
  5. Step 5: Solve for x
    x = 64,339,861,892.65/289,859.31
  6. Step 6: Final answer
    x = 221,969.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.