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Finding the Fourth Proportional to 319,383.22, 478,078.38 and 235,238.40

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Solution

The fourth proportional to 319,383.22, 478,078.38 and 235,238.40 is: 352,123.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,383.22 : 478,078.38 = 235,238.40 : x
  2. Step 2: Convert to fraction form
    319,383.22/478,078.38 = 235,238.40/x
  3. Step 3: Cross multiply
    319,383.22x = 478,078.38 × 235,238.40
  4. Step 4: Simplify right side
    319,383.22x = 112,462,393,185.79
  5. Step 5: Solve for x
    x = 112,462,393,185.79/319,383.22
  6. Step 6: Final answer
    x = 352,123.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.