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Finding the Fourth Proportional to 650,842.72, 898,056.04 and 408,954

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Solution

The fourth proportional to 650,842.72, 898,056.04 and 408,954 is: 564,289.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,842.72 : 898,056.04 = 408,954 : x
  2. Step 2: Convert to fraction form
    650,842.72/898,056.04 = 408,954/x
  3. Step 3: Cross multiply
    650,842.72x = 898,056.04 × 408,954
  4. Step 4: Simplify right side
    650,842.72x = 367,263,609,782.16
  5. Step 5: Solve for x
    x = 367,263,609,782.16/650,842.72
  6. Step 6: Final answer
    x = 564,289.34

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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.