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Finding the Fourth Proportional to 519,803.20, 779,631.90 and 164,853.10

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Solution

The fourth proportional to 519,803.20, 779,631.90 and 164,853.10 is: 247,256.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,803.20 : 779,631.90 = 164,853.10 : x
  2. Step 2: Convert to fraction form
    519,803.20/779,631.90 = 164,853.10/x
  3. Step 3: Cross multiply
    519,803.20x = 779,631.90 × 164,853.10
  4. Step 4: Simplify right side
    519,803.20x = 128,524,735,573.89
  5. Step 5: Solve for x
    x = 128,524,735,573.89/519,803.20
  6. Step 6: Final answer
    x = 247,256.53

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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.