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Finding the Fourth Proportional to 434,628.56, 650,931.96 and 422,669.84

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Solution

The fourth proportional to 434,628.56, 650,931.96 and 422,669.84 is: 633,021.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,628.56 : 650,931.96 = 422,669.84 : x
  2. Step 2: Convert to fraction form
    434,628.56/650,931.96 = 422,669.84/x
  3. Step 3: Cross multiply
    434,628.56x = 650,931.96 × 422,669.84
  4. Step 4: Simplify right side
    434,628.56x = 275,129,307,384.09
  5. Step 5: Solve for x
    x = 275,129,307,384.09/434,628.56
  6. Step 6: Final answer
    x = 633,021.69

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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.