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Finding the Fourth Proportional to 495,415.30, 683,669.26 and 269,060.80

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Solution

The fourth proportional to 495,415.30, 683,669.26 and 269,060.80 is: 371,301.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,415.30 : 683,669.26 = 269,060.80 : x
  2. Step 2: Convert to fraction form
    495,415.30/683,669.26 = 269,060.80/x
  3. Step 3: Cross multiply
    495,415.30x = 683,669.26 × 269,060.80
  4. Step 4: Simplify right side
    495,415.30x = 183,948,598,031.01
  5. Step 5: Solve for x
    x = 183,948,598,031.01/495,415.30
  6. Step 6: Final answer
    x = 371,301.81

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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.