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Finding the Fourth Proportional to 354,916.19, 489,709.49 and 225,808.04

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Solution

The fourth proportional to 354,916.19, 489,709.49 and 225,808.04 is: 311,567.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,916.19 : 489,709.49 = 225,808.04 : x
  2. Step 2: Convert to fraction form
    354,916.19/489,709.49 = 225,808.04/x
  3. Step 3: Cross multiply
    354,916.19x = 489,709.49 × 225,808.04
  4. Step 4: Simplify right side
    354,916.19x = 110,580,336,528.71
  5. Step 5: Solve for x
    x = 110,580,336,528.71/354,916.19
  6. Step 6: Final answer
    x = 311,567.47

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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.