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Finding the Fourth Proportional to 340,221.34, 510,405.82 and 103,557.87

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Solution

The fourth proportional to 340,221.34, 510,405.82 and 103,557.87 is: 155,359.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,221.34 : 510,405.82 = 103,557.87 : x
  2. Step 2: Convert to fraction form
    340,221.34/510,405.82 = 103,557.87/x
  3. Step 3: Cross multiply
    340,221.34x = 510,405.82 × 103,557.87
  4. Step 4: Simplify right side
    340,221.34x = 52,856,538,006.02
  5. Step 5: Solve for x
    x = 52,856,538,006.02/340,221.34
  6. Step 6: Final answer
    x = 155,359.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.