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Finding the Fourth Proportional to 212,681.60, 319,022.88 and 199,690.88

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Solution

The fourth proportional to 212,681.60, 319,022.88 and 199,690.88 is: 299,536.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,681.60 : 319,022.88 = 199,690.88 : x
  2. Step 2: Convert to fraction form
    212,681.60/319,022.88 = 199,690.88/x
  3. Step 3: Cross multiply
    212,681.60x = 319,022.88 × 199,690.88
  4. Step 4: Simplify right side
    212,681.60x = 63,705,959,647.33
  5. Step 5: Solve for x
    x = 63,705,959,647.33/212,681.60
  6. Step 6: Final answer
    x = 299,536.77

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1.5x scale

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.