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Finding the Fourth Proportional to 212,603.20, 318,904.80 and 178,388.80

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Solution

The fourth proportional to 212,603.20, 318,904.80 and 178,388.80 is: 267,583.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,603.20 : 318,904.80 = 178,388.80 : x
  2. Step 2: Convert to fraction form
    212,603.20/318,904.80 = 178,388.80/x
  3. Step 3: Cross multiply
    212,603.20x = 318,904.80 × 178,388.80
  4. Step 4: Simplify right side
    212,603.20x = 56,889,044,586.24
  5. Step 5: Solve for x
    x = 56,889,044,586.24/212,603.20
  6. Step 6: Final answer
    x = 267,583.20

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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.