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Finding the Fourth Proportional to 458,043.10, 686,742.72 and 201,754.03

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Solution

The fourth proportional to 458,043.10, 686,742.72 and 201,754.03 is: 302,489.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,043.10 : 686,742.72 = 201,754.03 : x
  2. Step 2: Convert to fraction form
    458,043.10/686,742.72 = 201,754.03/x
  3. Step 3: Cross multiply
    458,043.10x = 686,742.72 × 201,754.03
  4. Step 4: Simplify right side
    458,043.10x = 138,553,111,333.16
  5. Step 5: Solve for x
    x = 138,553,111,333.16/458,043.10
  6. Step 6: Final answer
    x = 302,489.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.