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Finding the Fourth Proportional to 290,615.44, 435,111.12 and 157,017.02

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Solution

The fourth proportional to 290,615.44, 435,111.12 and 157,017.02 is: 235,086.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,615.44 : 435,111.12 = 157,017.02 : x
  2. Step 2: Convert to fraction form
    290,615.44/435,111.12 = 157,017.02/x
  3. Step 3: Cross multiply
    290,615.44x = 435,111.12 × 157,017.02
  4. Step 4: Simplify right side
    290,615.44x = 68,319,851,431.26
  5. Step 5: Solve for x
    x = 68,319,851,431.26/290,615.44
  6. Step 6: Final answer
    x = 235,086.79

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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.