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Finding the Fourth Proportional to 290,743.45, 436,109.67 and 158,465.48

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Solution

The fourth proportional to 290,743.45, 436,109.67 and 158,465.48 is: 237,695.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,743.45 : 436,109.67 = 158,465.48 : x
  2. Step 2: Convert to fraction form
    290,743.45/436,109.67 = 158,465.48/x
  3. Step 3: Cross multiply
    290,743.45x = 436,109.67 × 158,465.48
  4. Step 4: Simplify right side
    290,743.45x = 69,108,326,008.64
  5. Step 5: Solve for x
    x = 69,108,326,008.64/290,743.45
  6. Step 6: Final answer
    x = 237,695.21

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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.