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Finding the Fourth Proportional to 518,494.62, 715,544.64 and 289,051.86

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Solution

The fourth proportional to 518,494.62, 715,544.64 and 289,051.86 is: 398,903.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,494.62 : 715,544.64 = 289,051.86 : x
  2. Step 2: Convert to fraction form
    518,494.62/715,544.64 = 289,051.86/x
  3. Step 3: Cross multiply
    518,494.62x = 715,544.64 × 289,051.86
  4. Step 4: Simplify right side
    518,494.62x = 206,829,509,105.03
  5. Step 5: Solve for x
    x = 206,829,509,105.03/518,494.62
  6. Step 6: Final answer
    x = 398,903.87

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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.