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Finding the Fourth Proportional to 713,843.10, 985,185.81 and 427,363.02

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Solution

The fourth proportional to 713,843.10, 985,185.81 and 427,363.02 is: 589,810.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,843.10 : 985,185.81 = 427,363.02 : x
  2. Step 2: Convert to fraction form
    713,843.10/985,185.81 = 427,363.02/x
  3. Step 3: Cross multiply
    713,843.10x = 985,185.81 × 427,363.02
  4. Step 4: Simplify right side
    713,843.10x = 421,031,983,022.75
  5. Step 5: Solve for x
    x = 421,031,983,022.75/713,843.10
  6. Step 6: Final answer
    x = 589,810.26

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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.