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Finding the Fourth Proportional to 354,948.77, 489,825.59 and 193,803.32

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Solution

The fourth proportional to 354,948.77, 489,825.59 and 193,803.32 is: 267,446.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,948.77 : 489,825.59 = 193,803.32 : x
  2. Step 2: Convert to fraction form
    354,948.77/489,825.59 = 193,803.32/x
  3. Step 3: Cross multiply
    354,948.77x = 489,825.59 × 193,803.32
  4. Step 4: Simplify right side
    354,948.77x = 94,929,827,272.03
  5. Step 5: Solve for x
    x = 94,929,827,272.03/354,948.77
  6. Step 6: Final answer
    x = 267,446.56

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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.