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Finding the Fourth Proportional to 497,058.32, 685,959.90 and 282,218.40

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Solution

The fourth proportional to 497,058.32, 685,959.90 and 282,218.40 is: 389,472.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,058.32 : 685,959.90 = 282,218.40 : x
  2. Step 2: Convert to fraction form
    497,058.32/685,959.90 = 282,218.40/x
  3. Step 3: Cross multiply
    497,058.32x = 685,959.90 × 282,218.40
  4. Step 4: Simplify right side
    497,058.32x = 193,590,505,442.16
  5. Step 5: Solve for x
    x = 193,590,505,442.16/497,058.32
  6. Step 6: Final answer
    x = 389,472.42

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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.