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Finding the Fourth Proportional to 713,989.69, 985,392.93 and 408,078.96

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Solution

The fourth proportional to 713,989.69, 985,392.93 and 408,078.96 is: 563,198.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,989.69 : 985,392.93 = 408,078.96 : x
  2. Step 2: Convert to fraction form
    713,989.69/985,392.93 = 408,078.96/x
  3. Step 3: Cross multiply
    713,989.69x = 985,392.93 × 408,078.96
  4. Step 4: Simplify right side
    713,989.69x = 402,118,123,148.22
  5. Step 5: Solve for x
    x = 402,118,123,148.22/713,989.69
  6. Step 6: Final answer
    x = 563,198.78

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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.