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Finding the Fourth Proportional to 519,319.90, 778,834.05 and 164,442.70

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Solution

The fourth proportional to 519,319.90, 778,834.05 and 164,442.70 is: 246,617.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,319.90 : 778,834.05 = 164,442.70 : x
  2. Step 2: Convert to fraction form
    519,319.90/778,834.05 = 164,442.70/x
  3. Step 3: Cross multiply
    519,319.90x = 778,834.05 × 164,442.70
  4. Step 4: Simplify right side
    519,319.90x = 128,073,574,033.94
  5. Step 5: Solve for x
    x = 128,073,574,033.94/519,319.90
  6. Step 6: Final answer
    x = 246,617.88

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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.