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Finding the Fourth Proportional to 290,834.88, 436,661.04 and 148,782.05

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Solution

The fourth proportional to 290,834.88, 436,661.04 and 148,782.05 is: 223,382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,834.88 : 436,661.04 = 148,782.05 : x
  2. Step 2: Convert to fraction form
    290,834.88/436,661.04 = 148,782.05/x
  3. Step 3: Cross multiply
    290,834.88x = 436,661.04 × 148,782.05
  4. Step 4: Simplify right side
    290,834.88x = 64,967,324,686.33
  5. Step 5: Solve for x
    x = 64,967,324,686.33/290,834.88
  6. Step 6: Final answer
    x = 223,382.16

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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.