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Finding the Fourth Proportional to 258,674, 356,916.36 and 151,222.96

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Solution

The fourth proportional to 258,674, 356,916.36 and 151,222.96 is: 208,656.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,674 : 356,916.36 = 151,222.96 : x
  2. Step 2: Convert to fraction form
    258,674/356,916.36 = 151,222.96/x
  3. Step 3: Cross multiply
    258,674x = 356,916.36 × 151,222.96
  4. Step 4: Simplify right side
    258,674x = 53,973,948,431.63
  5. Step 5: Solve for x
    x = 53,973,948,431.63/258,674
  6. Step 6: Final answer
    x = 208,656.26

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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.