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Finding the Fourth Proportional to 382,333, 573,568.80 and 157,568.44

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Solution

The fourth proportional to 382,333, 573,568.80 and 157,568.44 is: 236,381.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,333 : 573,568.80 = 157,568.44 : x
  2. Step 2: Convert to fraction form
    382,333/573,568.80 = 157,568.44/x
  3. Step 3: Cross multiply
    382,333x = 573,568.80 × 157,568.44
  4. Step 4: Simplify right side
    382,333x = 90,376,341,048.67
  5. Step 5: Solve for x
    x = 90,376,341,048.67/382,333
  6. Step 6: Final answer
    x = 236,381.22

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1.5x scale

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.