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Finding the Fourth Proportional to 289,254.28, 434,188.14 and 256,189

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Solution

The fourth proportional to 289,254.28, 434,188.14 and 256,189 is: 384,555.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,254.28 : 434,188.14 = 256,189 : x
  2. Step 2: Convert to fraction form
    289,254.28/434,188.14 = 256,189/x
  3. Step 3: Cross multiply
    289,254.28x = 434,188.14 × 256,189
  4. Step 4: Simplify right side
    289,254.28x = 111,234,225,398.46
  5. Step 5: Solve for x
    x = 111,234,225,398.46/289,254.28
  6. Step 6: Final answer
    x = 384,555.16

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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.