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Finding the Fourth Proportional to 412,808.79, 618,615.56 and 284,593.47

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Solution

The fourth proportional to 412,808.79, 618,615.56 and 284,593.47 is: 426,478.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,808.79 : 618,615.56 = 284,593.47 : x
  2. Step 2: Convert to fraction form
    412,808.79/618,615.56 = 284,593.47/x
  3. Step 3: Cross multiply
    412,808.79x = 618,615.56 × 284,593.47
  4. Step 4: Simplify right side
    412,808.79x = 176,053,947,208.07
  5. Step 5: Solve for x
    x = 176,053,947,208.07/412,808.79
  6. Step 6: Final answer
    x = 426,478.20

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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.