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Finding the Fourth Proportional to 289,691.60, 399,969.78 and 180,962.06

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Solution

The fourth proportional to 289,691.60, 399,969.78 and 180,962.06 is: 249,849.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,691.60 : 399,969.78 = 180,962.06 : x
  2. Step 2: Convert to fraction form
    289,691.60/399,969.78 = 180,962.06/x
  3. Step 3: Cross multiply
    289,691.60x = 399,969.78 × 180,962.06
  4. Step 4: Simplify right side
    289,691.60x = 72,379,355,326.55
  5. Step 5: Solve for x
    x = 72,379,355,326.55/289,691.60
  6. Step 6: Final answer
    x = 249,849.69

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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.