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Finding the Fourth Proportional to 713,120.50, 983,930.11 and 422,800.17

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Solution

The fourth proportional to 713,120.50, 983,930.11 and 422,800.17 is: 583,359.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,120.50 : 983,930.11 = 422,800.17 : x
  2. Step 2: Convert to fraction form
    713,120.50/983,930.11 = 422,800.17/x
  3. Step 3: Cross multiply
    713,120.50x = 983,930.11 × 422,800.17
  4. Step 4: Simplify right side
    713,120.50x = 416,005,817,776.12
  5. Step 5: Solve for x
    x = 416,005,817,776.12/713,120.50
  6. Step 6: Final answer
    x = 583,359.78

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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.