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Finding the Fourth Proportional to 565,644.56, 780,604.90 and 307,538.89

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Solution

The fourth proportional to 565,644.56, 780,604.90 and 307,538.89 is: 424,412.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,644.56 : 780,604.90 = 307,538.89 : x
  2. Step 2: Convert to fraction form
    565,644.56/780,604.90 = 307,538.89/x
  3. Step 3: Cross multiply
    565,644.56x = 780,604.90 × 307,538.89
  4. Step 4: Simplify right side
    565,644.56x = 240,066,361,754.20
  5. Step 5: Solve for x
    x = 240,066,361,754.20/565,644.56
  6. Step 6: Final answer
    x = 424,412.04

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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.