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Finding the Fourth Proportional to 271,920.81, 407,536.14 and 153,658.38

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Solution

The fourth proportional to 271,920.81, 407,536.14 and 153,658.38 is: 230,292.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,920.81 : 407,536.14 = 153,658.38 : x
  2. Step 2: Convert to fraction form
    271,920.81/407,536.14 = 153,658.38/x
  3. Step 3: Cross multiply
    271,920.81x = 407,536.14 × 153,658.38
  4. Step 4: Simplify right side
    271,920.81x = 62,621,343,063.85
  5. Step 5: Solve for x
    x = 62,621,343,063.85/271,920.81
  6. Step 6: Final answer
    x = 230,292.57

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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.