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Finding the Fourth Proportional to 268,064.64, 369,958.73 and 153,353.93

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Solution

The fourth proportional to 268,064.64, 369,958.73 and 153,353.93 is: 211,645.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,064.64 : 369,958.73 = 153,353.93 : x
  2. Step 2: Convert to fraction form
    268,064.64/369,958.73 = 153,353.93/x
  3. Step 3: Cross multiply
    268,064.64x = 369,958.73 × 153,353.93
  4. Step 4: Simplify right side
    268,064.64x = 56,734,622,566.75
  5. Step 5: Solve for x
    x = 56,734,622,566.75/268,064.64
  6. Step 6: Final answer
    x = 211,645.31

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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.