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Finding the Fourth Proportional to 589,487.89, 884,450.78 and 409,478.47

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Solution

The fourth proportional to 589,487.89, 884,450.78 and 409,478.47 is: 614,369.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,487.89 : 884,450.78 = 409,478.47 : x
  2. Step 2: Convert to fraction form
    589,487.89/884,450.78 = 409,478.47/x
  3. Step 3: Cross multiply
    589,487.89x = 884,450.78 × 409,478.47
  4. Step 4: Simplify right side
    589,487.89x = 362,163,546,189.83
  5. Step 5: Solve for x
    x = 362,163,546,189.83/589,487.89
  6. Step 6: Final answer
    x = 614,369.79

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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.