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Finding the Fourth Proportional to 644,684.59, 966,693.16 and 289,392.67

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Solution

The fourth proportional to 644,684.59, 966,693.16 and 289,392.67 is: 433,939.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,684.59 : 966,693.16 = 289,392.67 : x
  2. Step 2: Convert to fraction form
    644,684.59/966,693.16 = 289,392.67/x
  3. Step 3: Cross multiply
    644,684.59x = 966,693.16 × 289,392.67
  4. Step 4: Simplify right side
    644,684.59x = 279,753,914,643.14
  5. Step 5: Solve for x
    x = 279,753,914,643.14/644,684.59
  6. Step 6: Final answer
    x = 433,939.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.