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Finding the Fourth Proportional to 685,788, 946,168.74 and 444,255.72

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Solution

The fourth proportional to 685,788, 946,168.74 and 444,255.72 is: 612,931.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,788 : 946,168.74 = 444,255.72 : x
  2. Step 2: Convert to fraction form
    685,788/946,168.74 = 444,255.72/x
  3. Step 3: Cross multiply
    685,788x = 946,168.74 × 444,255.72
  4. Step 4: Simplify right side
    685,788x = 420,340,874,830.19
  5. Step 5: Solve for x
    x = 420,340,874,830.19/685,788
  6. Step 6: Final answer
    x = 612,931.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.