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Finding the Fourth Proportional to 455,965.92, 683,922.96 and 123,516

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Solution

The fourth proportional to 455,965.92, 683,922.96 and 123,516 is: 185,266.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,965.92 : 683,922.96 = 123,516 : x
  2. Step 2: Convert to fraction form
    455,965.92/683,922.96 = 123,516/x
  3. Step 3: Cross multiply
    455,965.92x = 683,922.96 × 123,516
  4. Step 4: Simplify right side
    455,965.92x = 84,475,428,327.36
  5. Step 5: Solve for x
    x = 84,475,428,327.36/455,965.92
  6. Step 6: Final answer
    x = 185,266.98

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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.