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Finding the Fourth Proportional to 315,889.75, 435,927.04 and 172,650.77

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Solution

The fourth proportional to 315,889.75, 435,927.04 and 172,650.77 is: 238,257.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,889.75 : 435,927.04 = 172,650.77 : x
  2. Step 2: Convert to fraction form
    315,889.75/435,927.04 = 172,650.77/x
  3. Step 3: Cross multiply
    315,889.75x = 435,927.04 × 172,650.77
  4. Step 4: Simplify right side
    315,889.75x = 75,263,139,119.82
  5. Step 5: Solve for x
    x = 75,263,139,119.82/315,889.75
  6. Step 6: Final answer
    x = 238,257.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.