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Finding the Fourth Proportional to 538,930.10, 808,510.35 and 164,990.90

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Solution

The fourth proportional to 538,930.10, 808,510.35 and 164,990.90 is: 247,521.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,930.10 : 808,510.35 = 164,990.90 : x
  2. Step 2: Convert to fraction form
    538,930.10/808,510.35 = 164,990.90/x
  3. Step 3: Cross multiply
    538,930.10x = 808,510.35 × 164,990.90
  4. Step 4: Simplify right side
    538,930.10x = 133,396,850,305.82
  5. Step 5: Solve for x
    x = 133,396,850,305.82/538,930.10
  6. Step 6: Final answer
    x = 247,521.62

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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.