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Finding the Fourth Proportional to 289,642.83, 399,720.81 and 180,811.64

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Solution

The fourth proportional to 289,642.83, 399,720.81 and 180,811.64 is: 249,528.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,642.83 : 399,720.81 = 180,811.64 : x
  2. Step 2: Convert to fraction form
    289,642.83/399,720.81 = 180,811.64/x
  3. Step 3: Cross multiply
    289,642.83x = 399,720.81 × 180,811.64
  4. Step 4: Simplify right side
    289,642.83x = 72,274,172,295.57
  5. Step 5: Solve for x
    x = 72,274,172,295.57/289,642.83
  6. Step 6: Final answer
    x = 249,528.61

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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.