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Finding the Fourth Proportional to 357,985.68, 494,095.41 and 227,078.66

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Solution

The fourth proportional to 357,985.68, 494,095.41 and 227,078.66 is: 313,416.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,985.68 : 494,095.41 = 227,078.66 : x
  2. Step 2: Convert to fraction form
    357,985.68/494,095.41 = 227,078.66/x
  3. Step 3: Cross multiply
    357,985.68x = 494,095.41 × 227,078.66
  4. Step 4: Simplify right side
    357,985.68x = 112,198,521,144.47
  5. Step 5: Solve for x
    x = 112,198,521,144.47/357,985.68
  6. Step 6: Final answer
    x = 313,416.23

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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.