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Finding the Fourth Proportional to 289,134.08, 434,197.44 and 177,470

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Solution

The fourth proportional to 289,134.08, 434,197.44 and 177,470 is: 266,509.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,134.08 : 434,197.44 = 177,470 : x
  2. Step 2: Convert to fraction form
    289,134.08/434,197.44 = 177,470/x
  3. Step 3: Cross multiply
    289,134.08x = 434,197.44 × 177,470
  4. Step 4: Simplify right side
    289,134.08x = 77,057,019,676.80
  5. Step 5: Solve for x
    x = 77,057,019,676.80/289,134.08
  6. Step 6: Final answer
    x = 266,509.64

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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.