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Finding the Fourth Proportional to 212,917.80, 319,376.70 and 195,714.60

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Solution

The fourth proportional to 212,917.80, 319,376.70 and 195,714.60 is: 293,571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,917.80 : 319,376.70 = 195,714.60 : x
  2. Step 2: Convert to fraction form
    212,917.80/319,376.70 = 195,714.60/x
  3. Step 3: Cross multiply
    212,917.80x = 319,376.70 × 195,714.60
  4. Step 4: Simplify right side
    212,917.80x = 62,506,683,089.82
  5. Step 5: Solve for x
    x = 62,506,683,089.82/212,917.80
  6. Step 6: Final answer
    x = 293,571.90

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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.