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Finding the Fourth Proportional to 289,556.64, 434,228.16 and 99,968.52

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Solution

The fourth proportional to 289,556.64, 434,228.16 and 99,968.52 is: 149,915.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,556.64 : 434,228.16 = 99,968.52 : x
  2. Step 2: Convert to fraction form
    289,556.64/434,228.16 = 99,968.52/x
  3. Step 3: Cross multiply
    289,556.64x = 434,228.16 × 99,968.52
  4. Step 4: Simplify right side
    289,556.64x = 43,409,146,497.52
  5. Step 5: Solve for x
    x = 43,409,146,497.52/289,556.64
  6. Step 6: Final answer
    x = 149,915.91

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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.