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Finding the Fourth Proportional to 382,391.30, 573,070.28 and 145,604.82

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Solution

The fourth proportional to 382,391.30, 573,070.28 and 145,604.82 is: 218,210.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,391.30 : 573,070.28 = 145,604.82 : x
  2. Step 2: Convert to fraction form
    382,391.30/573,070.28 = 145,604.82/x
  3. Step 3: Cross multiply
    382,391.30x = 573,070.28 × 145,604.82
  4. Step 4: Simplify right side
    382,391.30x = 83,441,794,966.75
  5. Step 5: Solve for x
    x = 83,441,794,966.75/382,391.30
  6. Step 6: Final answer
    x = 218,210.50

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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.