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Finding the Fourth Proportional to 642,644.80, 963,529.80 and 305,846.80

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Solution

The fourth proportional to 642,644.80, 963,529.80 and 305,846.80 is: 458,562.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,644.80 : 963,529.80 = 305,846.80 : x
  2. Step 2: Convert to fraction form
    642,644.80/963,529.80 = 305,846.80/x
  3. Step 3: Cross multiply
    642,644.80x = 963,529.80 × 305,846.80
  4. Step 4: Simplify right side
    642,644.80x = 294,692,506,034.64
  5. Step 5: Solve for x
    x = 294,692,506,034.64/642,644.80
  6. Step 6: Final answer
    x = 458,562.03

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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.