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Finding the Fourth Proportional to 519,415, 779,260.74 and 164,436.28

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Solution

The fourth proportional to 519,415, 779,260.74 and 164,436.28 is: 246,698.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,415 : 779,260.74 = 164,436.28 : x
  2. Step 2: Convert to fraction form
    519,415/779,260.74 = 164,436.28/x
  3. Step 3: Cross multiply
    519,415x = 779,260.74 × 164,436.28
  4. Step 4: Simplify right side
    519,415x = 128,138,737,235.65
  5. Step 5: Solve for x
    x = 128,138,737,235.65/519,415
  6. Step 6: Final answer
    x = 246,698.18

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1.5x scale

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.