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Finding the Fourth Proportional to 212,900.40, 318,913.20 and 146,415.60

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Solution

The fourth proportional to 212,900.40, 318,913.20 and 146,415.60 is: 219,322.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,900.40 : 318,913.20 = 146,415.60 : x
  2. Step 2: Convert to fraction form
    212,900.40/318,913.20 = 146,415.60/x
  3. Step 3: Cross multiply
    212,900.40x = 318,913.20 × 146,415.60
  4. Step 4: Simplify right side
    212,900.40x = 46,693,867,525.92
  5. Step 5: Solve for x
    x = 46,693,867,525.92/212,900.40
  6. Step 6: Final answer
    x = 219,322.59

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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.