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Finding the Fourth Proportional to 458,047.35, 686,749.11 and 201,758.31

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Solution

The fourth proportional to 458,047.35, 686,749.11 and 201,758.31 is: 302,495.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,047.35 : 686,749.11 = 201,758.31 : x
  2. Step 2: Convert to fraction form
    458,047.35/686,749.11 = 201,758.31/x
  3. Step 3: Cross multiply
    458,047.35x = 686,749.11 × 201,758.31
  4. Step 4: Simplify right side
    458,047.35x = 138,557,339,827.60
  5. Step 5: Solve for x
    x = 138,557,339,827.60/458,047.35
  6. Step 6: Final answer
    x = 302,495.67

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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.