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Finding the Fourth Proportional to 290,835.29, 436,661.65 and 148,782.46

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Solution

The fourth proportional to 290,835.29, 436,661.65 and 148,782.46 is: 223,382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,835.29 : 436,661.65 = 148,782.46 : x
  2. Step 2: Convert to fraction form
    290,835.29/436,661.65 = 148,782.46/x
  3. Step 3: Cross multiply
    290,835.29x = 436,661.65 × 148,782.46
  4. Step 4: Simplify right side
    290,835.29x = 64,967,594,387.72
  5. Step 5: Solve for x
    x = 64,967,594,387.72/290,835.29
  6. Step 6: Final answer
    x = 223,382.77

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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.