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Finding the Fourth Proportional to 561,446.58, 841,919.70 and 161,992.38

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Solution

The fourth proportional to 561,446.58, 841,919.70 and 161,992.38 is: 242,916.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,446.58 : 841,919.70 = 161,992.38 : x
  2. Step 2: Convert to fraction form
    561,446.58/841,919.70 = 161,992.38/x
  3. Step 3: Cross multiply
    561,446.58x = 841,919.70 × 161,992.38
  4. Step 4: Simplify right side
    561,446.58x = 136,384,575,971.89
  5. Step 5: Solve for x
    x = 136,384,575,971.89/561,446.58
  6. Step 6: Final answer
    x = 242,916.39

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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.