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Finding the Fourth Proportional to 493,478.88, 681,013.80 and 299,820.72

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Solution

The fourth proportional to 493,478.88, 681,013.80 and 299,820.72 is: 413,760.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,478.88 : 681,013.80 = 299,820.72 : x
  2. Step 2: Convert to fraction form
    493,478.88/681,013.80 = 299,820.72/x
  3. Step 3: Cross multiply
    493,478.88x = 681,013.80 × 299,820.72
  4. Step 4: Simplify right side
    493,478.88x = 204,182,047,845.94
  5. Step 5: Solve for x
    x = 204,182,047,845.94/493,478.88
  6. Step 6: Final answer
    x = 413,760.46

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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.