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Finding the Fourth Proportional to 497,062.32, 685,965.42 and 282,222.42

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Solution

The fourth proportional to 497,062.32, 685,965.42 and 282,222.42 is: 389,477.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,062.32 : 685,965.42 = 282,222.42 : x
  2. Step 2: Convert to fraction form
    497,062.32/685,965.42 = 282,222.42/x
  3. Step 3: Cross multiply
    497,062.32x = 685,965.42 × 282,222.42
  4. Step 4: Simplify right side
    497,062.32x = 193,594,820,868.72
  5. Step 5: Solve for x
    x = 193,594,820,868.72/497,062.32
  6. Step 6: Final answer
    x = 389,477.96

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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.