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Finding the Fourth Proportional to 511,561.60, 705,967.42 and 282,122.22

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Solution

The fourth proportional to 511,561.60, 705,967.42 and 282,122.22 is: 389,335.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,561.60 : 705,967.42 = 282,122.22 : x
  2. Step 2: Convert to fraction form
    511,561.60/705,967.42 = 282,122.22/x
  3. Step 3: Cross multiply
    511,561.60x = 705,967.42 × 282,122.22
  4. Step 4: Simplify right side
    511,561.60x = 199,169,095,778.07
  5. Step 5: Solve for x
    x = 199,169,095,778.07/511,561.60
  6. Step 6: Final answer
    x = 389,335.51

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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.