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Finding the Fourth Proportional to 519,374.52, 778,983.54 and 164,342.36

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Solution

The fourth proportional to 519,374.52, 778,983.54 and 164,342.36 is: 246,488.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,374.52 : 778,983.54 = 164,342.36 : x
  2. Step 2: Convert to fraction form
    519,374.52/778,983.54 = 164,342.36/x
  3. Step 3: Cross multiply
    519,374.52x = 778,983.54 × 164,342.36
  4. Step 4: Simplify right side
    519,374.52x = 128,019,993,364.75
  5. Step 5: Solve for x
    x = 128,019,993,364.75/519,374.52
  6. Step 6: Final answer
    x = 246,488.78

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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.