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Finding the Fourth Proportional to 519,889.80, 779,828.51 and 164,906.90

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Solution

The fourth proportional to 519,889.80, 779,828.51 and 164,906.90 is: 247,358.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,889.80 : 779,828.51 = 164,906.90 : x
  2. Step 2: Convert to fraction form
    519,889.80/779,828.51 = 164,906.90/x
  3. Step 3: Cross multiply
    519,889.80x = 779,828.51 × 164,906.90
  4. Step 4: Simplify right side
    519,889.80x = 128,599,097,392.04
  5. Step 5: Solve for x
    x = 128,599,097,392.04/519,889.80
  6. Step 6: Final answer
    x = 247,358.38

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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.