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Finding the Fourth Proportional to 519,722.70, 779,611.98 and 164,764.40

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Solution

The fourth proportional to 519,722.70, 779,611.98 and 164,764.40 is: 247,155.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,722.70 : 779,611.98 = 164,764.40 : x
  2. Step 2: Convert to fraction form
    519,722.70/779,611.98 = 164,764.40/x
  3. Step 3: Cross multiply
    519,722.70x = 779,611.98 × 164,764.40
  4. Step 4: Simplify right side
    519,722.70x = 128,452,296,219.45
  5. Step 5: Solve for x
    x = 128,452,296,219.45/519,722.70
  6. Step 6: Final answer
    x = 247,155.45

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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.