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Finding the Fourth Proportional to 353,491.47, 487,826.57 and 200,539.98

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Solution

The fourth proportional to 353,491.47, 487,826.57 and 200,539.98 is: 276,749.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,491.47 : 487,826.57 = 200,539.98 : x
  2. Step 2: Convert to fraction form
    353,491.47/487,826.57 = 200,539.98/x
  3. Step 3: Cross multiply
    353,491.47x = 487,826.57 × 200,539.98
  4. Step 4: Simplify right side
    353,491.47x = 97,828,730,591.27
  5. Step 5: Solve for x
    x = 97,828,730,591.27/353,491.47
  6. Step 6: Final answer
    x = 276,749.90

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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.