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Finding the Fourth Proportional to 530,224.88, 731,431.50 and 315,212

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Solution

The fourth proportional to 530,224.88, 731,431.50 and 315,212 is: 434,826.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,224.88 : 731,431.50 = 315,212 : x
  2. Step 2: Convert to fraction form
    530,224.88/731,431.50 = 315,212/x
  3. Step 3: Cross multiply
    530,224.88x = 731,431.50 × 315,212
  4. Step 4: Simplify right side
    530,224.88x = 230,555,985,978
  5. Step 5: Solve for x
    x = 230,555,985,978/530,224.88
  6. Step 6: Final answer
    x = 434,826.80

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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.