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Finding the Fourth Proportional to 382,366.86, 527,663.07 and 212,599.50

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Solution

The fourth proportional to 382,366.86, 527,663.07 and 212,599.50 is: 293,385.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,366.86 : 527,663.07 = 212,599.50 : x
  2. Step 2: Convert to fraction form
    382,366.86/527,663.07 = 212,599.50/x
  3. Step 3: Cross multiply
    382,366.86x = 527,663.07 × 212,599.50
  4. Step 4: Simplify right side
    382,366.86x = 112,180,904,850.47
  5. Step 5: Solve for x
    x = 112,180,904,850.47/382,366.86
  6. Step 6: Final answer
    x = 293,385.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.