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Finding the Fourth Proportional to 401,711.72, 602,571.02 and 102,192.57

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Solution

The fourth proportional to 401,711.72, 602,571.02 and 102,192.57 is: 153,289.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,711.72 : 602,571.02 = 102,192.57 : x
  2. Step 2: Convert to fraction form
    401,711.72/602,571.02 = 102,192.57/x
  3. Step 3: Cross multiply
    401,711.72x = 602,571.02 × 102,192.57
  4. Step 4: Simplify right side
    401,711.72x = 61,578,280,630.36
  5. Step 5: Solve for x
    x = 61,578,280,630.36/401,711.72
  6. Step 6: Final answer
    x = 153,289.73

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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.