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Finding the Fourth Proportional to 323,956, 486,011.94 and 102,340

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Solution

The fourth proportional to 323,956, 486,011.94 and 102,340 is: 153,534.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,956 : 486,011.94 = 102,340 : x
  2. Step 2: Convert to fraction form
    323,956/486,011.94 = 102,340/x
  3. Step 3: Cross multiply
    323,956x = 486,011.94 × 102,340
  4. Step 4: Simplify right side
    323,956x = 49,738,461,939.60
  5. Step 5: Solve for x
    x = 49,738,461,939.60/323,956
  6. Step 6: Final answer
    x = 153,534.62

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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.