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Finding the Fourth Proportional to 685,701.63, 946,278.14 and 395,307.82

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Solution

The fourth proportional to 685,701.63, 946,278.14 and 395,307.82 is: 545,530.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,701.63 : 946,278.14 = 395,307.82 : x
  2. Step 2: Convert to fraction form
    685,701.63/946,278.14 = 395,307.82/x
  3. Step 3: Cross multiply
    685,701.63x = 946,278.14 × 395,307.82
  4. Step 4: Simplify right side
    685,701.63x = 374,071,147,843.36
  5. Step 5: Solve for x
    x = 374,071,147,843.36/685,701.63
  6. Step 6: Final answer
    x = 545,530.49

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Double scale
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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.