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Finding the Fourth Proportional to 530,238.78, 731,487.78 and 315,256.68

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Solution

The fourth proportional to 530,238.78, 731,487.78 and 315,256.68 is: 434,910.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,238.78 : 731,487.78 = 315,256.68 : x
  2. Step 2: Convert to fraction form
    530,238.78/731,487.78 = 315,256.68/x
  3. Step 3: Cross multiply
    530,238.78x = 731,487.78 × 315,256.68
  4. Step 4: Simplify right side
    530,238.78x = 230,606,408,983.37
  5. Step 5: Solve for x
    x = 230,606,408,983.37/530,238.78
  6. Step 6: Final answer
    x = 434,910.49

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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.