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Finding the Fourth Proportional to 380,208.80, 569,852.40 and 169,623.20

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Solution

The fourth proportional to 380,208.80, 569,852.40 and 169,623.20 is: 254,229.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,208.80 : 569,852.40 = 169,623.20 : x
  2. Step 2: Convert to fraction form
    380,208.80/569,852.40 = 169,623.20/x
  3. Step 3: Cross multiply
    380,208.80x = 569,852.40 × 169,623.20
  4. Step 4: Simplify right side
    380,208.80x = 96,660,187,615.68
  5. Step 5: Solve for x
    x = 96,660,187,615.68/380,208.80
  6. Step 6: Final answer
    x = 254,229.22

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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.