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Finding the Fourth Proportional to 390,615.52, 538,661.22 and 294,050.56

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Solution

The fourth proportional to 390,615.52, 538,661.22 and 294,050.56 is: 405,497.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,615.52 : 538,661.22 = 294,050.56 : x
  2. Step 2: Convert to fraction form
    390,615.52/538,661.22 = 294,050.56/x
  3. Step 3: Cross multiply
    390,615.52x = 538,661.22 × 294,050.56
  4. Step 4: Simplify right side
    390,615.52x = 158,393,633,391.28
  5. Step 5: Solve for x
    x = 158,393,633,391.28/390,615.52
  6. Step 6: Final answer
    x = 405,497.54

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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.