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Finding the Fourth Proportional to 519,763.96, 779,756.10 and 164,731.24

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Solution

The fourth proportional to 519,763.96, 779,756.10 and 164,731.24 is: 247,131.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,763.96 : 779,756.10 = 164,731.24 : x
  2. Step 2: Convert to fraction form
    519,763.96/779,756.10 = 164,731.24/x
  3. Step 3: Cross multiply
    519,763.96x = 779,756.10 × 164,731.24
  4. Step 4: Simplify right side
    519,763.96x = 128,450,189,250.56
  5. Step 5: Solve for x
    x = 128,450,189,250.56/519,763.96
  6. Step 6: Final answer
    x = 247,131.77

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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.