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Finding the Fourth Proportional to 354,582.56, 489,323.94 and 227,258.16

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Solution

The fourth proportional to 354,582.56, 489,323.94 and 227,258.16 is: 313,616.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,582.56 : 489,323.94 = 227,258.16 : x
  2. Step 2: Convert to fraction form
    354,582.56/489,323.94 = 227,258.16/x
  3. Step 3: Cross multiply
    354,582.56x = 489,323.94 × 227,258.16
  4. Step 4: Simplify right side
    354,582.56x = 111,202,855,561.17
  5. Step 5: Solve for x
    x = 111,202,855,561.17/354,582.56
  6. Step 6: Final answer
    x = 313,616.26

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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.