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Finding the Fourth Proportional to 518,658.81, 778,012.52 and 252,101.58

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Solution

The fourth proportional to 518,658.81, 778,012.52 and 252,101.58 is: 378,164.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,658.81 : 778,012.52 = 252,101.58 : x
  2. Step 2: Convert to fraction form
    518,658.81/778,012.52 = 252,101.58/x
  3. Step 3: Cross multiply
    518,658.81x = 778,012.52 × 252,101.58
  4. Step 4: Simplify right side
    518,658.81x = 196,138,184,291.27
  5. Step 5: Solve for x
    x = 196,138,184,291.27/518,658.81
  6. Step 6: Final answer
    x = 378,164.18

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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.