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Finding the Fourth Proportional to 382,021.32, 573,146.57 and 154,199.71

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Solution

The fourth proportional to 382,021.32, 573,146.57 and 154,199.71 is: 231,345.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,021.32 : 573,146.57 = 154,199.71 : x
  2. Step 2: Convert to fraction form
    382,021.32/573,146.57 = 154,199.71/x
  3. Step 3: Cross multiply
    382,021.32x = 573,146.57 × 154,199.71
  4. Step 4: Simplify right side
    382,021.32x = 88,379,034,881.49
  5. Step 5: Solve for x
    x = 88,379,034,881.49/382,021.32
  6. Step 6: Final answer
    x = 231,345.82

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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.