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Finding the Fourth Proportional to 401,429.72, 602,144.58 and 135,167.94

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Solution

The fourth proportional to 401,429.72, 602,144.58 and 135,167.94 is: 202,751.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,429.72 : 602,144.58 = 135,167.94 : x
  2. Step 2: Convert to fraction form
    401,429.72/602,144.58 = 135,167.94/x
  3. Step 3: Cross multiply
    401,429.72x = 602,144.58 × 135,167.94
  4. Step 4: Simplify right side
    401,429.72x = 81,390,642,460.77
  5. Step 5: Solve for x
    x = 81,390,642,460.77/401,429.72
  6. Step 6: Final answer
    x = 202,751.91

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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.