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Finding the Fourth Proportional to 210,732.78, 290,916.99 and 162,877.98

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Solution

The fourth proportional to 210,732.78, 290,916.99 and 162,877.98 is: 224,853.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,732.78 : 290,916.99 = 162,877.98 : x
  2. Step 2: Convert to fraction form
    210,732.78/290,916.99 = 162,877.98/x
  3. Step 3: Cross multiply
    210,732.78x = 290,916.99 × 162,877.98
  4. Step 4: Simplify right side
    210,732.78x = 47,383,971,678.88
  5. Step 5: Solve for x
    x = 47,383,971,678.88/210,732.78
  6. Step 6: Final answer
    x = 224,853.35

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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.