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Finding the Fourth Proportional to 713,898.69, 985,043.72 and 408,071.97

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Solution

The fourth proportional to 713,898.69, 985,043.72 and 408,071.97 is: 563,061.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,898.69 : 985,043.72 = 408,071.97 : x
  2. Step 2: Convert to fraction form
    713,898.69/985,043.72 = 408,071.97/x
  3. Step 3: Cross multiply
    713,898.69x = 985,043.72 × 408,071.97
  4. Step 4: Simplify right side
    713,898.69x = 401,968,729,316.17
  5. Step 5: Solve for x
    x = 401,968,729,316.17/713,898.69
  6. Step 6: Final answer
    x = 563,061.31

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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.