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Finding the Fourth Proportional to 684,783.78, 945,304.31 and 409,238.87

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Solution

The fourth proportional to 684,783.78, 945,304.31 and 409,238.87 is: 564,930.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,783.78 : 945,304.31 = 409,238.87 : x
  2. Step 2: Convert to fraction form
    684,783.78/945,304.31 = 409,238.87/x
  3. Step 3: Cross multiply
    684,783.78x = 945,304.31 × 409,238.87
  4. Step 4: Simplify right side
    684,783.78x = 386,855,265,584.34
  5. Step 5: Solve for x
    x = 386,855,265,584.34/684,783.78
  6. Step 6: Final answer
    x = 564,930.53

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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.