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Finding the Fourth Proportional to 296,836.47, 445,043.30 and 138,978.81

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Solution

The fourth proportional to 296,836.47, 445,043.30 and 138,978.81 is: 208,369.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,836.47 : 445,043.30 = 138,978.81 : x
  2. Step 2: Convert to fraction form
    296,836.47/445,043.30 = 138,978.81/x
  3. Step 3: Cross multiply
    296,836.47x = 445,043.30 × 138,978.81
  4. Step 4: Simplify right side
    296,836.47x = 61,851,587,537.58
  5. Step 5: Solve for x
    x = 61,851,587,537.58/296,836.47
  6. Step 6: Final answer
    x = 208,369.23

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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.