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Finding the Fourth Proportional to 293,220, 439,830 and 106,231.50

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Solution

The fourth proportional to 293,220, 439,830 and 106,231.50 is: 159,347.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,220 : 439,830 = 106,231.50 : x
  2. Step 2: Convert to fraction form
    293,220/439,830 = 106,231.50/x
  3. Step 3: Cross multiply
    293,220x = 439,830 × 106,231.50
  4. Step 4: Simplify right side
    293,220x = 46,723,800,645
  5. Step 5: Solve for x
    x = 46,723,800,645/293,220
  6. Step 6: Final answer
    x = 159,347.25

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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.