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Finding the Fourth Proportional to 289,384.30, 433,930.65 and 171,091.90

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Solution

The fourth proportional to 289,384.30, 433,930.65 and 171,091.90 is: 256,551.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,384.30 : 433,930.65 = 171,091.90 : x
  2. Step 2: Convert to fraction form
    289,384.30/433,930.65 = 171,091.90/x
  3. Step 3: Cross multiply
    289,384.30x = 433,930.65 × 171,091.90
  4. Step 4: Simplify right side
    289,384.30x = 74,242,019,376.74
  5. Step 5: Solve for x
    x = 74,242,019,376.74/289,384.30
  6. Step 6: Final answer
    x = 256,551.65

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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.