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Finding the Fourth Proportional to 285,846.68, 394,465.73 and 156,782.51

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Solution

The fourth proportional to 285,846.68, 394,465.73 and 156,782.51 is: 216,358.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,846.68 : 394,465.73 = 156,782.51 : x
  2. Step 2: Convert to fraction form
    285,846.68/394,465.73 = 156,782.51/x
  3. Step 3: Cross multiply
    285,846.68x = 394,465.73 × 156,782.51
  4. Step 4: Simplify right side
    285,846.68x = 61,845,327,258.38
  5. Step 5: Solve for x
    x = 61,845,327,258.38/285,846.68
  6. Step 6: Final answer
    x = 216,358.39

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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.