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Finding the Fourth Proportional to 644,642.69, 966,500.87 and 302,893.40

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Solution

The fourth proportional to 644,642.69, 966,500.87 and 302,893.40 is: 454,122.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,642.69 : 966,500.87 = 302,893.40 : x
  2. Step 2: Convert to fraction form
    644,642.69/966,500.87 = 302,893.40/x
  3. Step 3: Cross multiply
    644,642.69x = 966,500.87 × 302,893.40
  4. Step 4: Simplify right side
    644,642.69x = 292,746,735,519.04
  5. Step 5: Solve for x
    x = 292,746,735,519.04/644,642.69
  6. Step 6: Final answer
    x = 454,122.48

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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.