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Finding the Fourth Proportional to 290,956.31, 436,434.47 and 80,594.32

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Solution

The fourth proportional to 290,956.31, 436,434.47 and 80,594.32 is: 120,891.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,956.31 : 436,434.47 = 80,594.32 : x
  2. Step 2: Convert to fraction form
    290,956.31/436,434.47 = 80,594.32/x
  3. Step 3: Cross multiply
    290,956.31x = 436,434.47 × 80,594.32
  4. Step 4: Simplify right side
    290,956.31x = 35,174,136,749.07
  5. Step 5: Solve for x
    x = 35,174,136,749.07/290,956.31
  6. Step 6: Final answer
    x = 120,891.47

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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.