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Finding the Fourth Proportional to 401,715.72, 602,201.52 and 148,855.32

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Solution

The fourth proportional to 401,715.72, 602,201.52 and 148,855.32 is: 223,145.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,715.72 : 602,201.52 = 148,855.32 : x
  2. Step 2: Convert to fraction form
    401,715.72/602,201.52 = 148,855.32/x
  3. Step 3: Cross multiply
    401,715.72x = 602,201.52 × 148,855.32
  4. Step 4: Simplify right side
    401,715.72x = 89,640,899,964.09
  5. Step 5: Solve for x
    x = 89,640,899,964.09/401,715.72
  6. Step 6: Final answer
    x = 223,145.11

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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.