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Finding the Fourth Proportional to 412,319.56, 569,347.68 and 310,167.96

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Solution

The fourth proportional to 412,319.56, 569,347.68 and 310,167.96 is: 428,292.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,319.56 : 569,347.68 = 310,167.96 : x
  2. Step 2: Convert to fraction form
    412,319.56/569,347.68 = 310,167.96/x
  3. Step 3: Cross multiply
    412,319.56x = 569,347.68 × 310,167.96
  4. Step 4: Simplify right side
    412,319.56x = 176,593,408,436.33
  5. Step 5: Solve for x
    x = 176,593,408,436.33/412,319.56
  6. Step 6: Final answer
    x = 428,292.58

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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.