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Finding the Fourth Proportional to 206,428.70, 310,342.95 and 164,840.06

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Solution

The fourth proportional to 206,428.70, 310,342.95 and 164,840.06 is: 247,818.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,428.70 : 310,342.95 = 164,840.06 : x
  2. Step 2: Convert to fraction form
    206,428.70/310,342.95 = 164,840.06/x
  3. Step 3: Cross multiply
    206,428.70x = 310,342.95 × 164,840.06
  4. Step 4: Simplify right side
    206,428.70x = 51,156,950,498.58
  5. Step 5: Solve for x
    x = 51,156,950,498.58/206,428.70
  6. Step 6: Final answer
    x = 247,818.98

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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.