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Finding the Fourth Proportional to 379,407.80, 569,111.70 and 202,260.80

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Solution

The fourth proportional to 379,407.80, 569,111.70 and 202,260.80 is: 303,391.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,407.80 : 569,111.70 = 202,260.80 : x
  2. Step 2: Convert to fraction form
    379,407.80/569,111.70 = 202,260.80/x
  3. Step 3: Cross multiply
    379,407.80x = 569,111.70 × 202,260.80
  4. Step 4: Simplify right side
    379,407.80x = 115,108,987,731.36
  5. Step 5: Solve for x
    x = 115,108,987,731.36/379,407.80
  6. Step 6: Final answer
    x = 303,391.20

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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.