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Finding the Fourth Proportional to 203,586.40, 304,688.40 and 178,703.20

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Solution

The fourth proportional to 203,586.40, 304,688.40 and 178,703.20 is: 267,448.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,586.40 : 304,688.40 = 178,703.20 : x
  2. Step 2: Convert to fraction form
    203,586.40/304,688.40 = 178,703.20/x
  3. Step 3: Cross multiply
    203,586.40x = 304,688.40 × 178,703.20
  4. Step 4: Simplify right side
    203,586.40x = 54,448,792,082.88
  5. Step 5: Solve for x
    x = 54,448,792,082.88/203,586.40
  6. Step 6: Final answer
    x = 267,448.08

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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.