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Finding the Fourth Proportional to 260,274.72, 390,149.64 and 197,814

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Solution

The fourth proportional to 260,274.72, 390,149.64 and 197,814 is: 296,521.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,274.72 : 390,149.64 = 197,814 : x
  2. Step 2: Convert to fraction form
    260,274.72/390,149.64 = 197,814/x
  3. Step 3: Cross multiply
    260,274.72x = 390,149.64 × 197,814
  4. Step 4: Simplify right side
    260,274.72x = 77,177,060,886.96
  5. Step 5: Solve for x
    x = 77,177,060,886.96/260,274.72
  6. Step 6: Final answer
    x = 296,521.54

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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.