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Finding the Fourth Proportional to 713,799.66, 984,704 and 427,264.39

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Solution

The fourth proportional to 713,799.66, 984,704 and 427,264.39 is: 589,421.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,799.66 : 984,704 = 427,264.39 : x
  2. Step 2: Convert to fraction form
    713,799.66/984,704 = 427,264.39/x
  3. Step 3: Cross multiply
    713,799.66x = 984,704 × 427,264.39
  4. Step 4: Simplify right side
    713,799.66x = 420,728,953,890.56
  5. Step 5: Solve for x
    x = 420,728,953,890.56/713,799.66
  6. Step 6: Final answer
    x = 589,421.62

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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.