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Finding the Fourth Proportional to 526,137.58, 726,086.19 and 299,768.50

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Solution

The fourth proportional to 526,137.58, 726,086.19 and 299,768.50 is: 413,689.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,137.58 : 726,086.19 = 299,768.50 : x
  2. Step 2: Convert to fraction form
    526,137.58/726,086.19 = 299,768.50/x
  3. Step 3: Cross multiply
    526,137.58x = 726,086.19 × 299,768.50
  4. Step 4: Simplify right side
    526,137.58x = 217,657,768,047.02
  5. Step 5: Solve for x
    x = 217,657,768,047.02/526,137.58
  6. Step 6: Final answer
    x = 413,689.83

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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.