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Finding the Fourth Proportional to 212,499.84, 319,192.43 and 179,284.98

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Solution

The fourth proportional to 212,499.84, 319,192.43 and 179,284.98 is: 269,300.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,499.84 : 319,192.43 = 179,284.98 : x
  2. Step 2: Convert to fraction form
    212,499.84/319,192.43 = 179,284.98/x
  3. Step 3: Cross multiply
    212,499.84x = 319,192.43 × 179,284.98
  4. Step 4: Simplify right side
    212,499.84x = 57,226,407,532.28
  5. Step 5: Solve for x
    x = 57,226,407,532.28/212,499.84
  6. Step 6: Final answer
    x = 269,300.94

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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.