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Finding the Fourth Proportional to 212,729.40, 319,094.10 and 193,046.40

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Solution

The fourth proportional to 212,729.40, 319,094.10 and 193,046.40 is: 289,569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,729.40 : 319,094.10 = 193,046.40 : x
  2. Step 2: Convert to fraction form
    212,729.40/319,094.10 = 193,046.40/x
  3. Step 3: Cross multiply
    212,729.40x = 319,094.10 × 193,046.40
  4. Step 4: Simplify right side
    212,729.40x = 61,599,967,266.24
  5. Step 5: Solve for x
    x = 61,599,967,266.24/212,729.40
  6. Step 6: Final answer
    x = 289,569.60

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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.