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Finding the Fourth Proportional to 315,856.88, 435,912.55 and 172,638.45

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Solution

The fourth proportional to 315,856.88, 435,912.55 and 172,638.45 is: 238,257.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,856.88 : 435,912.55 = 172,638.45 : x
  2. Step 2: Convert to fraction form
    315,856.88/435,912.55 = 172,638.45/x
  3. Step 3: Cross multiply
    315,856.88x = 435,912.55 × 172,638.45
  4. Step 4: Simplify right side
    315,856.88x = 75,255,266,967.55
  5. Step 5: Solve for x
    x = 75,255,266,967.55/315,856.88
  6. Step 6: Final answer
    x = 238,257.49

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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.