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Finding the Fourth Proportional to 243,073.69, 365,083.20 and 198,128.04

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Solution

The fourth proportional to 243,073.69, 365,083.20 and 198,128.04 is: 297,577.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,073.69 : 365,083.20 = 198,128.04 : x
  2. Step 2: Convert to fraction form
    243,073.69/365,083.20 = 198,128.04/x
  3. Step 3: Cross multiply
    243,073.69x = 365,083.20 × 198,128.04
  4. Step 4: Simplify right side
    243,073.69x = 72,333,217,483.87
  5. Step 5: Solve for x
    x = 72,333,217,483.87/243,073.69
  6. Step 6: Final answer
    x = 297,577.32

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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.