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Finding the Fourth Proportional to 199,415.40, 299,123.10 and 146,271.30

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Solution

The fourth proportional to 199,415.40, 299,123.10 and 146,271.30 is: 219,406.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,415.40 : 299,123.10 = 146,271.30 : x
  2. Step 2: Convert to fraction form
    199,415.40/299,123.10 = 146,271.30/x
  3. Step 3: Cross multiply
    199,415.40x = 299,123.10 × 146,271.30
  4. Step 4: Simplify right side
    199,415.40x = 43,753,124,697.03
  5. Step 5: Solve for x
    x = 43,753,124,697.03/199,415.40
  6. Step 6: Final answer
    x = 219,406.95

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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.