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Finding the Fourth Proportional to 393,254.16, 589,894.29 and 108,947.57

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Solution

The fourth proportional to 393,254.16, 589,894.29 and 108,947.57 is: 163,424.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,254.16 : 589,894.29 = 108,947.57 : x
  2. Step 2: Convert to fraction form
    393,254.16/589,894.29 = 108,947.57/x
  3. Step 3: Cross multiply
    393,254.16x = 589,894.29 × 108,947.57
  4. Step 4: Simplify right side
    393,254.16x = 64,267,546,502.90
  5. Step 5: Solve for x
    x = 64,267,546,502.90/393,254.16
  6. Step 6: Final answer
    x = 163,424.96

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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.