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Finding the Fourth Proportional to 498,537.32, 686,992.74 and 355,044.20

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Solution

The fourth proportional to 498,537.32, 686,992.74 and 355,044.20 is: 489,256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,537.32 : 686,992.74 = 355,044.20 : x
  2. Step 2: Convert to fraction form
    498,537.32/686,992.74 = 355,044.20/x
  3. Step 3: Cross multiply
    498,537.32x = 686,992.74 × 355,044.20
  4. Step 4: Simplify right side
    498,537.32x = 243,912,787,779.11
  5. Step 5: Solve for x
    x = 243,912,787,779.11/498,537.32
  6. Step 6: Final answer
    x = 489,256.83

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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.