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Finding the Fourth Proportional to 212,800.32, 318,259.32 and 189,272.94

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Solution

The fourth proportional to 212,800.32, 318,259.32 and 189,272.94 is: 283,072.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,800.32 : 318,259.32 = 189,272.94 : x
  2. Step 2: Convert to fraction form
    212,800.32/318,259.32 = 189,272.94/x
  3. Step 3: Cross multiply
    212,800.32x = 318,259.32 × 189,272.94
  4. Step 4: Simplify right side
    212,800.32x = 60,237,877,178.80
  5. Step 5: Solve for x
    x = 60,237,877,178.80/212,800.32
  6. Step 6: Final answer
    x = 283,072.31

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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.