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Finding the Fourth Proportional to 713,864.52, 985,163.94 and 427,329.18

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Solution

The fourth proportional to 713,864.52, 985,163.94 and 427,329.18 is: 589,732.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,864.52 : 985,163.94 = 427,329.18 : x
  2. Step 2: Convert to fraction form
    713,864.52/985,163.94 = 427,329.18/x
  3. Step 3: Cross multiply
    713,864.52x = 985,163.94 × 427,329.18
  4. Step 4: Simplify right side
    713,864.52x = 420,989,298,645.77
  5. Step 5: Solve for x
    x = 420,989,298,645.77/713,864.52
  6. Step 6: Final answer
    x = 589,732.77

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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.