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Finding the Fourth Proportional to 519,768.46, 779,762.85 and 164,735.74

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Solution

The fourth proportional to 519,768.46, 779,762.85 and 164,735.74 is: 247,138.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,768.46 : 779,762.85 = 164,735.74 : x
  2. Step 2: Convert to fraction form
    519,768.46/779,762.85 = 164,735.74/x
  3. Step 3: Cross multiply
    519,768.46x = 779,762.85 × 164,735.74
  4. Step 4: Simplify right side
    519,768.46x = 128,454,810,119.26
  5. Step 5: Solve for x
    x = 128,454,810,119.26/519,768.46
  6. Step 6: Final answer
    x = 247,138.52

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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.