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Finding the Fourth Proportional to 469,912.33, 648,461.63 and 255,047.78

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Solution

The fourth proportional to 469,912.33, 648,461.63 and 255,047.78 is: 351,956.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,912.33 : 648,461.63 = 255,047.78 : x
  2. Step 2: Convert to fraction form
    469,912.33/648,461.63 = 255,047.78/x
  3. Step 3: Cross multiply
    469,912.33x = 648,461.63 × 255,047.78
  4. Step 4: Simplify right side
    469,912.33x = 165,388,697,871.44
  5. Step 5: Solve for x
    x = 165,388,697,871.44/469,912.33
  6. Step 6: Final answer
    x = 351,956.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.