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Finding the Fourth Proportional to 484,851.40, 727,709.10 and 284,921.80

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Solution

The fourth proportional to 484,851.40, 727,709.10 and 284,921.80 is: 427,636.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,851.40 : 727,709.10 = 284,921.80 : x
  2. Step 2: Convert to fraction form
    484,851.40/727,709.10 = 284,921.80/x
  3. Step 3: Cross multiply
    484,851.40x = 727,709.10 × 284,921.80
  4. Step 4: Simplify right side
    484,851.40x = 207,340,186,648.38
  5. Step 5: Solve for x
    x = 207,340,186,648.38/484,851.40
  6. Step 6: Final answer
    x = 427,636.56

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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.