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Finding the Fourth Proportional to 379,203.48, 523,256.04 and 209,427.48

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Solution

The fourth proportional to 379,203.48, 523,256.04 and 209,427.48 is: 288,985.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,203.48 : 523,256.04 = 209,427.48 : x
  2. Step 2: Convert to fraction form
    379,203.48/523,256.04 = 209,427.48/x
  3. Step 3: Cross multiply
    379,203.48x = 523,256.04 × 209,427.48
  4. Step 4: Simplify right side
    379,203.48x = 109,584,193,851.98
  5. Step 5: Solve for x
    x = 109,584,193,851.98/379,203.48
  6. Step 6: Final answer
    x = 288,985.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.