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Finding the Fourth Proportional to 402,721, 602,767.11 and 296,076.76

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Solution

The fourth proportional to 402,721, 602,767.11 and 296,076.76 is: 443,148.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,721 : 602,767.11 = 296,076.76 : x
  2. Step 2: Convert to fraction form
    402,721/602,767.11 = 296,076.76/x
  3. Step 3: Cross multiply
    402,721x = 602,767.11 × 296,076.76
  4. Step 4: Simplify right side
    402,721x = 178,465,332,963.36
  5. Step 5: Solve for x
    x = 178,465,332,963.36/402,721
  6. Step 6: Final answer
    x = 443,148.81

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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.