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Finding the Fourth Proportional to 289,097.20, 433,300.20 and 148,783.60

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Solution

The fourth proportional to 289,097.20, 433,300.20 and 148,783.60 is: 222,997.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,097.20 : 433,300.20 = 148,783.60 : x
  2. Step 2: Convert to fraction form
    289,097.20/433,300.20 = 148,783.60/x
  3. Step 3: Cross multiply
    289,097.20x = 433,300.20 × 148,783.60
  4. Step 4: Simplify right side
    289,097.20x = 64,467,963,636.72
  5. Step 5: Solve for x
    x = 64,467,963,636.72/289,097.20
  6. Step 6: Final answer
    x = 222,997.54

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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.