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Finding the Fourth Proportional to 339,533.70, 509,353.38 and 102,820.02

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Solution

The fourth proportional to 339,533.70, 509,353.38 and 102,820.02 is: 154,246.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,533.70 : 509,353.38 = 102,820.02 : x
  2. Step 2: Convert to fraction form
    339,533.70/509,353.38 = 102,820.02/x
  3. Step 3: Cross multiply
    339,533.70x = 509,353.38 × 102,820.02
  4. Step 4: Simplify right side
    339,533.70x = 52,371,724,718.67
  5. Step 5: Solve for x
    x = 52,371,724,718.67/339,533.70
  6. Step 6: Final answer
    x = 154,246.03

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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.