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Finding the Fourth Proportional to 497,249.92, 686,337.60 and 306,294.40

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Solution

The fourth proportional to 497,249.92, 686,337.60 and 306,294.40 is: 422,768.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,249.92 : 686,337.60 = 306,294.40 : x
  2. Step 2: Convert to fraction form
    497,249.92/686,337.60 = 306,294.40/x
  3. Step 3: Cross multiply
    497,249.92x = 686,337.60 × 306,294.40
  4. Step 4: Simplify right side
    497,249.92x = 210,221,363,389.44
  5. Step 5: Solve for x
    x = 210,221,363,389.44/497,249.92
  6. Step 6: Final answer
    x = 422,768.02

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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.