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Finding the Fourth Proportional to 313,650.72, 470,420.55 and 142,833.30

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Solution

The fourth proportional to 313,650.72, 470,420.55 and 142,833.30 is: 214,224.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,650.72 : 470,420.55 = 142,833.30 : x
  2. Step 2: Convert to fraction form
    313,650.72/470,420.55 = 142,833.30/x
  3. Step 3: Cross multiply
    313,650.72x = 470,420.55 × 142,833.30
  4. Step 4: Simplify right side
    313,650.72x = 67,191,719,544.32
  5. Step 5: Solve for x
    x = 67,191,719,544.32/313,650.72
  6. Step 6: Final answer
    x = 214,224.66

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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.