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Finding the Fourth Proportional to 212,722.40, 319,558.80 and 177,730.40

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Solution

The fourth proportional to 212,722.40, 319,558.80 and 177,730.40 is: 266,992.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,722.40 : 319,558.80 = 177,730.40 : x
  2. Step 2: Convert to fraction form
    212,722.40/319,558.80 = 177,730.40/x
  3. Step 3: Cross multiply
    212,722.40x = 319,558.80 × 177,730.40
  4. Step 4: Simplify right side
    212,722.40x = 56,795,313,347.52
  5. Step 5: Solve for x
    x = 56,795,313,347.52/212,722.40
  6. Step 6: Final answer
    x = 266,992.63

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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.