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Finding the Fourth Proportional to 401,393.54, 602,013.68 and 201,658.48

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Solution

The fourth proportional to 401,393.54, 602,013.68 and 201,658.48 is: 302,449.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,393.54 : 602,013.68 = 201,658.48 : x
  2. Step 2: Convert to fraction form
    401,393.54/602,013.68 = 201,658.48/x
  3. Step 3: Cross multiply
    401,393.54x = 602,013.68 × 201,658.48
  4. Step 4: Simplify right side
    401,393.54x = 121,401,163,648.01
  5. Step 5: Solve for x
    x = 121,401,163,648.01/401,393.54
  6. Step 6: Final answer
    x = 302,449.22

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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.