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Finding the Fourth Proportional to 289,650.96, 399,582.72 and 180,666

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Solution

The fourth proportional to 289,650.96, 399,582.72 and 180,666 is: 249,234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,650.96 : 399,582.72 = 180,666 : x
  2. Step 2: Convert to fraction form
    289,650.96/399,582.72 = 180,666/x
  3. Step 3: Cross multiply
    289,650.96x = 399,582.72 × 180,666
  4. Step 4: Simplify right side
    289,650.96x = 72,191,011,691.52
  5. Step 5: Solve for x
    x = 72,191,011,691.52/289,650.96
  6. Step 6: Final answer
    x = 249,234.50

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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.