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Finding the Fourth Proportional to 382,382.60, 573,314.70 and 145,689.80

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Solution

The fourth proportional to 382,382.60, 573,314.70 and 145,689.80 is: 218,435.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,382.60 : 573,314.70 = 145,689.80 : x
  2. Step 2: Convert to fraction form
    382,382.60/573,314.70 = 145,689.80/x
  3. Step 3: Cross multiply
    382,382.60x = 573,314.70 × 145,689.80
  4. Step 4: Simplify right side
    382,382.60x = 83,526,103,980.06
  5. Step 5: Solve for x
    x = 83,526,103,980.06/382,382.60
  6. Step 6: Final answer
    x = 218,435.94

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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.