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Finding the Fourth Proportional to 290,396.88, 435,529.64 and 110,418.09

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Solution

The fourth proportional to 290,396.88, 435,529.64 and 110,418.09 is: 165,602.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,396.88 : 435,529.64 = 110,418.09 : x
  2. Step 2: Convert to fraction form
    290,396.88/435,529.64 = 110,418.09/x
  3. Step 3: Cross multiply
    290,396.88x = 435,529.64 × 110,418.09
  4. Step 4: Simplify right side
    290,396.88x = 48,090,349,630.00
  5. Step 5: Solve for x
    x = 48,090,349,630.00/290,396.88
  6. Step 6: Final answer
    x = 165,602.16

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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.