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Finding the Fourth Proportional to 530,094.96, 731,290.14 and 315,112.86

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Solution

The fourth proportional to 530,094.96, 731,290.14 and 315,112.86 is: 434,712.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,094.96 : 731,290.14 = 315,112.86 : x
  2. Step 2: Convert to fraction form
    530,094.96/731,290.14 = 315,112.86/x
  3. Step 3: Cross multiply
    530,094.96x = 731,290.14 × 315,112.86
  4. Step 4: Simplify right side
    530,094.96x = 230,438,927,505.20
  5. Step 5: Solve for x
    x = 230,438,927,505.20/530,094.96
  6. Step 6: Final answer
    x = 434,712.54

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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.