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Finding the Fourth Proportional to 387,765.89, 535,116.93 and 226,756.22

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Solution

The fourth proportional to 387,765.89, 535,116.93 and 226,756.22 is: 312,923.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,765.89 : 535,116.93 = 226,756.22 : x
  2. Step 2: Convert to fraction form
    387,765.89/535,116.93 = 226,756.22/x
  3. Step 3: Cross multiply
    387,765.89x = 535,116.93 × 226,756.22
  4. Step 4: Simplify right side
    387,765.89x = 121,341,089,629.22
  5. Step 5: Solve for x
    x = 121,341,089,629.22/387,765.89
  6. Step 6: Final answer
    x = 312,923.58

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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.