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Finding the Fourth Proportional to 685,726.97, 946,310.18 and 413,742.20

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Solution

The fourth proportional to 685,726.97, 946,310.18 and 413,742.20 is: 570,968.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,726.97 : 946,310.18 = 413,742.20 : x
  2. Step 2: Convert to fraction form
    685,726.97/946,310.18 = 413,742.20/x
  3. Step 3: Cross multiply
    685,726.97x = 946,310.18 × 413,742.20
  4. Step 4: Simplify right side
    685,726.97x = 391,528,448,955.33
  5. Step 5: Solve for x
    x = 391,528,448,955.33/685,726.97
  6. Step 6: Final answer
    x = 570,968.43

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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.