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Finding the Fourth Proportional to 346,321.80, 519,409.80 and 146,648.70

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Solution

The fourth proportional to 346,321.80, 519,409.80 and 146,648.70 is: 219,942.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,321.80 : 519,409.80 = 146,648.70 : x
  2. Step 2: Convert to fraction form
    346,321.80/519,409.80 = 146,648.70/x
  3. Step 3: Cross multiply
    346,321.80x = 519,409.80 × 146,648.70
  4. Step 4: Simplify right side
    346,321.80x = 76,170,771,937.26
  5. Step 5: Solve for x
    x = 76,170,771,937.26/346,321.80
  6. Step 6: Final answer
    x = 219,942.18

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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.