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Finding the Fourth Proportional to 361,968.72, 499,561.15 and 209,006.52

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Solution

The fourth proportional to 361,968.72, 499,561.15 and 209,006.52 is: 288,454.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,968.72 : 499,561.15 = 209,006.52 : x
  2. Step 2: Convert to fraction form
    361,968.72/499,561.15 = 209,006.52/x
  3. Step 3: Cross multiply
    361,968.72x = 499,561.15 × 209,006.52
  4. Step 4: Simplify right side
    361,968.72x = 104,411,537,355.66
  5. Step 5: Solve for x
    x = 104,411,537,355.66/361,968.72
  6. Step 6: Final answer
    x = 288,454.59

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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.