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Finding the Fourth Proportional to 210,320.64, 290,234.88 and 114,825.60

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Solution

The fourth proportional to 210,320.64, 290,234.88 and 114,825.60 is: 158,455.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,320.64 : 290,234.88 = 114,825.60 : x
  2. Step 2: Convert to fraction form
    210,320.64/290,234.88 = 114,825.60/x
  3. Step 3: Cross multiply
    210,320.64x = 290,234.88 × 114,825.60
  4. Step 4: Simplify right side
    210,320.64x = 33,326,394,236.93
  5. Step 5: Solve for x
    x = 33,326,394,236.93/210,320.64
  6. Step 6: Final answer
    x = 158,455.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.