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Finding the Fourth Proportional to 497,486.62, 686,533.80 and 282,638.49

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Solution

The fourth proportional to 497,486.62, 686,533.80 and 282,638.49 is: 390,042.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,486.62 : 686,533.80 = 282,638.49 : x
  2. Step 2: Convert to fraction form
    497,486.62/686,533.80 = 282,638.49/x
  3. Step 3: Cross multiply
    497,486.62x = 686,533.80 × 282,638.49
  4. Step 4: Simplify right side
    497,486.62x = 194,040,876,565.96
  5. Step 5: Solve for x
    x = 194,040,876,565.96/497,486.62
  6. Step 6: Final answer
    x = 390,042.40

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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.