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Finding the Fourth Proportional to 346,073.20, 518,821.80 and 146,546.80

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Solution

The fourth proportional to 346,073.20, 518,821.80 and 146,546.80 is: 219,698.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,073.20 : 518,821.80 = 146,546.80 : x
  2. Step 2: Convert to fraction form
    346,073.20/518,821.80 = 146,546.80/x
  3. Step 3: Cross multiply
    346,073.20x = 518,821.80 × 146,546.80
  4. Step 4: Simplify right side
    346,073.20x = 76,031,674,560.24
  5. Step 5: Solve for x
    x = 76,031,674,560.24/346,073.20
  6. Step 6: Final answer
    x = 219,698.24

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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.