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Finding the Fourth Proportional to 290,562.30, 435,774.06 and 122,085.81

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Solution

The fourth proportional to 290,562.30, 435,774.06 and 122,085.81 is: 183,099.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,562.30 : 435,774.06 = 122,085.81 : x
  2. Step 2: Convert to fraction form
    290,562.30/435,774.06 = 122,085.81/x
  3. Step 3: Cross multiply
    290,562.30x = 435,774.06 × 122,085.81
  4. Step 4: Simplify right side
    290,562.30x = 53,201,829,092.09
  5. Step 5: Solve for x
    x = 53,201,829,092.09/290,562.30
  6. Step 6: Final answer
    x = 183,099.56

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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.