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Finding the Fourth Proportional to 220,914.31, 304,861.75 and 120,312.31

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Solution

The fourth proportional to 220,914.31, 304,861.75 and 120,312.31 is: 166,030.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,914.31 : 304,861.75 = 120,312.31 : x
  2. Step 2: Convert to fraction form
    220,914.31/304,861.75 = 120,312.31/x
  3. Step 3: Cross multiply
    220,914.31x = 304,861.75 × 120,312.31
  4. Step 4: Simplify right side
    220,914.31x = 36,678,621,373.14
  5. Step 5: Solve for x
    x = 36,678,621,373.14/220,914.31
  6. Step 6: Final answer
    x = 166,030.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.