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Finding the Fourth Proportional to 295,100, 407,238.40 and 160,964

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Solution

The fourth proportional to 295,100, 407,238.40 and 160,964 is: 222,130.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,100 : 407,238.40 = 160,964 : x
  2. Step 2: Convert to fraction form
    295,100/407,238.40 = 160,964/x
  3. Step 3: Cross multiply
    295,100x = 407,238.40 × 160,964
  4. Step 4: Simplify right side
    295,100x = 65,550,721,817.60
  5. Step 5: Solve for x
    x = 65,550,721,817.60/295,100
  6. Step 6: Final answer
    x = 222,130.54

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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.