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Finding the Fourth Proportional to 714,676.64, 986,255.73 and 392,407.61

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Solution

The fourth proportional to 714,676.64, 986,255.73 and 392,407.61 is: 541,523.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,676.64 : 986,255.73 = 392,407.61 : x
  2. Step 2: Convert to fraction form
    714,676.64/986,255.73 = 392,407.61/x
  3. Step 3: Cross multiply
    714,676.64x = 986,255.73 × 392,407.61
  4. Step 4: Simplify right side
    714,676.64x = 387,014,253,858.11
  5. Step 5: Solve for x
    x = 387,014,253,858.11/714,676.64
  6. Step 6: Final answer
    x = 541,523.58

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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.