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Finding the Fourth Proportional to 309,176.53, 463,690.13 and 129,164.68

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Solution

The fourth proportional to 309,176.53, 463,690.13 and 129,164.68 is: 193,715.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,176.53 : 463,690.13 = 129,164.68 : x
  2. Step 2: Convert to fraction form
    309,176.53/463,690.13 = 129,164.68/x
  3. Step 3: Cross multiply
    309,176.53x = 463,690.13 × 129,164.68
  4. Step 4: Simplify right side
    309,176.53x = 59,892,385,494.33
  5. Step 5: Solve for x
    x = 59,892,385,494.33/309,176.53
  6. Step 6: Final answer
    x = 193,715.82

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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.