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Finding the Fourth Proportional to 289,205.90, 433,232.85 and 254,569.10

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Solution

The fourth proportional to 289,205.90, 433,232.85 and 254,569.10 is: 381,346.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,205.90 : 433,232.85 = 254,569.10 : x
  2. Step 2: Convert to fraction form
    289,205.90/433,232.85 = 254,569.10/x
  3. Step 3: Cross multiply
    289,205.90x = 433,232.85 × 254,569.10
  4. Step 4: Simplify right side
    289,205.90x = 110,287,696,714.94
  5. Step 5: Solve for x
    x = 110,287,696,714.94/289,205.90
  6. Step 6: Final answer
    x = 381,346.63

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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.