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Finding the Fourth Proportional to 530,239.78, 731,489.16 and 315,257.68

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Solution

The fourth proportional to 530,239.78, 731,489.16 and 315,257.68 is: 434,911.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,239.78 : 731,489.16 = 315,257.68 : x
  2. Step 2: Convert to fraction form
    530,239.78/731,489.16 = 315,257.68/x
  3. Step 3: Cross multiply
    530,239.78x = 731,489.16 × 315,257.68
  4. Step 4: Simplify right side
    530,239.78x = 230,607,575,526.75
  5. Step 5: Solve for x
    x = 230,607,575,526.75/530,239.78
  6. Step 6: Final answer
    x = 434,911.87

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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.