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Finding the Fourth Proportional to 931,860, 1,397,790 and 267,012

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Solution

The fourth proportional to 931,860, 1,397,790 and 267,012 is: 400,518

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,860 : 1,397,790 = 267,012 : x
  2. Step 2: Convert to fraction form
    931,860/1,397,790 = 267,012/x
  3. Step 3: Cross multiply
    931,860x = 1,397,790 × 267,012
  4. Step 4: Simplify right side
    931,860x = 373,226,703,480
  5. Step 5: Solve for x
    x = 373,226,703,480/931,860
  6. Step 6: Final answer
    x = 400,518

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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.