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Finding the Fourth Proportional to 497,689.92, 686,815.20 and 271,339.20

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Solution

The fourth proportional to 497,689.92, 686,815.20 and 271,339.20 is: 374,449.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,689.92 : 686,815.20 = 271,339.20 : x
  2. Step 2: Convert to fraction form
    497,689.92/686,815.20 = 271,339.20/x
  3. Step 3: Cross multiply
    497,689.92x = 686,815.20 × 271,339.20
  4. Step 4: Simplify right side
    497,689.92x = 186,359,886,915.84
  5. Step 5: Solve for x
    x = 186,359,886,915.84/497,689.92
  6. Step 6: Final answer
    x = 374,449.79

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1.5x scale

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.