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Finding the Fourth Proportional to 528,365.50, 729,144.39 and 302,015.86

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Solution

The fourth proportional to 528,365.50, 729,144.39 and 302,015.86 is: 416,781.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,365.50 : 729,144.39 = 302,015.86 : x
  2. Step 2: Convert to fraction form
    528,365.50/729,144.39 = 302,015.86/x
  3. Step 3: Cross multiply
    528,365.50x = 729,144.39 × 302,015.86
  4. Step 4: Simplify right side
    528,365.50x = 220,213,170,010.03
  5. Step 5: Solve for x
    x = 220,213,170,010.03/528,365.50
  6. Step 6: Final answer
    x = 416,781.89

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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.