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Finding the Fourth Proportional to 358,334.15, 494,521.54 and 205,397.78

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Solution

The fourth proportional to 358,334.15, 494,521.54 and 205,397.78 is: 283,460.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,334.15 : 494,521.54 = 205,397.78 : x
  2. Step 2: Convert to fraction form
    358,334.15/494,521.54 = 205,397.78/x
  3. Step 3: Cross multiply
    358,334.15x = 494,521.54 × 205,397.78
  4. Step 4: Simplify right side
    358,334.15x = 101,573,623,492.08
  5. Step 5: Solve for x
    x = 101,573,623,492.08/358,334.15
  6. Step 6: Final answer
    x = 283,460.63

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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.