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Finding the Fourth Proportional to 519,295.20, 778,869.90 and 164,345.10

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Solution

The fourth proportional to 519,295.20, 778,869.90 and 164,345.10 is: 246,494.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,295.20 : 778,869.90 = 164,345.10 : x
  2. Step 2: Convert to fraction form
    519,295.20/778,869.90 = 164,345.10/x
  3. Step 3: Cross multiply
    519,295.20x = 778,869.90 × 164,345.10
  4. Step 4: Simplify right side
    519,295.20x = 128,003,451,602.49
  5. Step 5: Solve for x
    x = 128,003,451,602.49/519,295.20
  6. Step 6: Final answer
    x = 246,494.58

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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.