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Finding the Fourth Proportional to 289,348.29, 399,291.57 and 160,281.59

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Solution

The fourth proportional to 289,348.29, 399,291.57 and 160,281.59 is: 221,183.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,348.29 : 399,291.57 = 160,281.59 : x
  2. Step 2: Convert to fraction form
    289,348.29/399,291.57 = 160,281.59/x
  3. Step 3: Cross multiply
    289,348.29x = 399,291.57 × 160,281.59
  4. Step 4: Simplify right side
    289,348.29x = 63,999,085,716.74
  5. Step 5: Solve for x
    x = 63,999,085,716.74/289,348.29
  6. Step 6: Final answer
    x = 221,183.56

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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.