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Finding the Fourth Proportional to 290,678.82, 436,005.99 and 101,182.38

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Solution

The fourth proportional to 290,678.82, 436,005.99 and 101,182.38 is: 151,769.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,678.82 : 436,005.99 = 101,182.38 : x
  2. Step 2: Convert to fraction form
    290,678.82/436,005.99 = 101,182.38/x
  3. Step 3: Cross multiply
    290,678.82x = 436,005.99 × 101,182.38
  4. Step 4: Simplify right side
    290,678.82x = 44,116,123,762.46
  5. Step 5: Solve for x
    x = 44,116,123,762.46/290,678.82
  6. Step 6: Final answer
    x = 151,769.31

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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.