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Finding the Fourth Proportional to 289,712.80, 434,569.20 and 261,719.20

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Solution

The fourth proportional to 289,712.80, 434,569.20 and 261,719.20 is: 392,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,712.80 : 434,569.20 = 261,719.20 : x
  2. Step 2: Convert to fraction form
    289,712.80/434,569.20 = 261,719.20/x
  3. Step 3: Cross multiply
    289,712.80x = 434,569.20 × 261,719.20
  4. Step 4: Simplify right side
    289,712.80x = 113,735,103,368.64
  5. Step 5: Solve for x
    x = 113,735,103,368.64/289,712.80
  6. Step 6: Final answer
    x = 392,578.80

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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.