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Finding the Fourth Proportional to 523,619.83, 785,414.06 and 144,563.70

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Solution

The fourth proportional to 523,619.83, 785,414.06 and 144,563.70 is: 216,841.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,619.83 : 785,414.06 = 144,563.70 : x
  2. Step 2: Convert to fraction form
    523,619.83/785,414.06 = 144,563.70/x
  3. Step 3: Cross multiply
    523,619.83x = 785,414.06 × 144,563.70
  4. Step 4: Simplify right side
    523,619.83x = 113,542,362,545.62
  5. Step 5: Solve for x
    x = 113,542,362,545.62/523,619.83
  6. Step 6: Final answer
    x = 216,841.22

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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.