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Finding the Fourth Proportional to 534,818.08, 802,123.44 and 202,420

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Solution

The fourth proportional to 534,818.08, 802,123.44 and 202,420 is: 303,590.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,818.08 : 802,123.44 = 202,420 : x
  2. Step 2: Convert to fraction form
    534,818.08/802,123.44 = 202,420/x
  3. Step 3: Cross multiply
    534,818.08x = 802,123.44 × 202,420
  4. Step 4: Simplify right side
    534,818.08x = 162,365,826,724.80
  5. Step 5: Solve for x
    x = 162,365,826,724.80/534,818.08
  6. Step 6: Final answer
    x = 303,590.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.