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Finding the Fourth Proportional to 434,188.56, 650,161.20 and 299,667.84

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Solution

The fourth proportional to 434,188.56, 650,161.20 and 299,667.84 is: 448,727.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,188.56 : 650,161.20 = 299,667.84 : x
  2. Step 2: Convert to fraction form
    434,188.56/650,161.20 = 299,667.84/x
  3. Step 3: Cross multiply
    434,188.56x = 650,161.20 × 299,667.84
  4. Step 4: Simplify right side
    434,188.56x = 194,832,402,455.81
  5. Step 5: Solve for x
    x = 194,832,402,455.81/434,188.56
  6. Step 6: Final answer
    x = 448,727.63

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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.