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Finding the Fourth Proportional to 361,302.56, 498,595.92 and 208,340

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Solution

The fourth proportional to 361,302.56, 498,595.92 and 208,340 is: 287,508.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,302.56 : 498,595.92 = 208,340 : x
  2. Step 2: Convert to fraction form
    361,302.56/498,595.92 = 208,340/x
  3. Step 3: Cross multiply
    361,302.56x = 498,595.92 × 208,340
  4. Step 4: Simplify right side
    361,302.56x = 103,877,473,972.80
  5. Step 5: Solve for x
    x = 103,877,473,972.80/361,302.56
  6. Step 6: Final answer
    x = 287,508.27

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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.