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Finding the Fourth Proportional to 382,113.62, 572,949.02 and 157,220.01

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Solution

The fourth proportional to 382,113.62, 572,949.02 and 157,220.01 is: 235,738.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,113.62 : 572,949.02 = 157,220.01 : x
  2. Step 2: Convert to fraction form
    382,113.62/572,949.02 = 157,220.01/x
  3. Step 3: Cross multiply
    382,113.62x = 572,949.02 × 157,220.01
  4. Step 4: Simplify right side
    382,113.62x = 90,079,050,653.89
  5. Step 5: Solve for x
    x = 90,079,050,653.89/382,113.62
  6. Step 6: Final answer
    x = 235,738.92

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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.