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Finding the Fourth Proportional to 398,729.59, 549,828.81 and 262,589.65

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Solution

The fourth proportional to 398,729.59, 549,828.81 and 262,589.65 is: 362,098.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,729.59 : 549,828.81 = 262,589.65 : x
  2. Step 2: Convert to fraction form
    398,729.59/549,828.81 = 262,589.65/x
  3. Step 3: Cross multiply
    398,729.59x = 549,828.81 × 262,589.65
  4. Step 4: Simplify right side
    398,729.59x = 144,379,353,403.25
  5. Step 5: Solve for x
    x = 144,379,353,403.25/398,729.59
  6. Step 6: Final answer
    x = 362,098.42

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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.