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Finding the Fourth Proportional to 346,412.80, 519,546.30 and 146,739.70

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Solution

The fourth proportional to 346,412.80, 519,546.30 and 146,739.70 is: 220,078.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,412.80 : 519,546.30 = 146,739.70 : x
  2. Step 2: Convert to fraction form
    346,412.80/519,546.30 = 146,739.70/x
  3. Step 3: Cross multiply
    346,412.80x = 519,546.30 × 146,739.70
  4. Step 4: Simplify right side
    346,412.80x = 76,238,068,198.11
  5. Step 5: Solve for x
    x = 76,238,068,198.11/346,412.80
  6. Step 6: Final answer
    x = 220,078.67

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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.