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Finding the Fourth Proportional to 369,978, 510,573.30 and 200,215.77

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Solution

The fourth proportional to 369,978, 510,573.30 and 200,215.77 is: 276,299.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,978 : 510,573.30 = 200,215.77 : x
  2. Step 2: Convert to fraction form
    369,978/510,573.30 = 200,215.77/x
  3. Step 3: Cross multiply
    369,978x = 510,573.30 × 200,215.77
  4. Step 4: Simplify right side
    369,978x = 102,224,826,400.94
  5. Step 5: Solve for x
    x = 102,224,826,400.94/369,978
  6. Step 6: Final answer
    x = 276,299.74

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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.