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Finding the Fourth Proportional to 354,351.79, 489,061.56 and 211,194.87

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Solution

The fourth proportional to 354,351.79, 489,061.56 and 211,194.87 is: 291,482.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,351.79 : 489,061.56 = 211,194.87 : x
  2. Step 2: Convert to fraction form
    354,351.79/489,061.56 = 211,194.87/x
  3. Step 3: Cross multiply
    354,351.79x = 489,061.56 × 211,194.87
  4. Step 4: Simplify right side
    354,351.79x = 103,287,290,140.89
  5. Step 5: Solve for x
    x = 103,287,290,140.89/354,351.79
  6. Step 6: Final answer
    x = 291,482.35

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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.