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Finding the Fourth Proportional to 294,992.70, 407,089.80 and 160,856.70

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Solution

The fourth proportional to 294,992.70, 407,089.80 and 160,856.70 is: 221,982.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,992.70 : 407,089.80 = 160,856.70 : x
  2. Step 2: Convert to fraction form
    294,992.70/407,089.80 = 160,856.70/x
  3. Step 3: Cross multiply
    294,992.70x = 407,089.80 × 160,856.70
  4. Step 4: Simplify right side
    294,992.70x = 65,483,121,831.66
  5. Step 5: Solve for x
    x = 65,483,121,831.66/294,992.70
  6. Step 6: Final answer
    x = 221,982.18

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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.