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Finding the Fourth Proportional to 291,967.74, 402,663.76 and 189,955.94

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Solution

The fourth proportional to 291,967.74, 402,663.76 and 189,955.94 is: 261,975.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,967.74 : 402,663.76 = 189,955.94 : x
  2. Step 2: Convert to fraction form
    291,967.74/402,663.76 = 189,955.94/x
  3. Step 3: Cross multiply
    291,967.74x = 402,663.76 × 189,955.94
  4. Step 4: Simplify right side
    291,967.74x = 76,488,370,546.53
  5. Step 5: Solve for x
    x = 76,488,370,546.53/291,967.74
  6. Step 6: Final answer
    x = 261,975.42

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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.