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Finding the Fourth Proportional to 283,147.93, 390,736.29 and 160,662.61

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Solution

The fourth proportional to 283,147.93, 390,736.29 and 160,662.61 is: 221,709.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,147.93 : 390,736.29 = 160,662.61 : x
  2. Step 2: Convert to fraction form
    283,147.93/390,736.29 = 160,662.61/x
  3. Step 3: Cross multiply
    283,147.93x = 390,736.29 × 160,662.61
  4. Step 4: Simplify right side
    283,147.93x = 62,776,712,173.12
  5. Step 5: Solve for x
    x = 62,776,712,173.12/283,147.93
  6. Step 6: Final answer
    x = 221,709.95

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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.