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Finding the Fourth Proportional to 402,628.58, 603,500 and 165,842.09

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Solution

The fourth proportional to 402,628.58, 603,500 and 165,842.09 is: 248,580.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,628.58 : 603,500 = 165,842.09 : x
  2. Step 2: Convert to fraction form
    402,628.58/603,500 = 165,842.09/x
  3. Step 3: Cross multiply
    402,628.58x = 603,500 × 165,842.09
  4. Step 4: Simplify right side
    402,628.58x = 100,085,701,315
  5. Step 5: Solve for x
    x = 100,085,701,315/402,628.58
  6. Step 6: Final answer
    x = 248,580.72

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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.