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Finding the Fourth Proportional to 212,901.40, 318,914.70 and 146,416.60

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Solution

The fourth proportional to 212,901.40, 318,914.70 and 146,416.60 is: 219,324.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,901.40 : 318,914.70 = 146,416.60 : x
  2. Step 2: Convert to fraction form
    212,901.40/318,914.70 = 146,416.60/x
  3. Step 3: Cross multiply
    212,901.40x = 318,914.70 × 146,416.60
  4. Step 4: Simplify right side
    212,901.40x = 46,694,406,064.02
  5. Step 5: Solve for x
    x = 46,694,406,064.02/212,901.40
  6. Step 6: Final answer
    x = 219,324.09

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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.