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Finding the Fourth Proportional to 406,170, 560,436.84 and 262,910.16

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Solution

The fourth proportional to 406,170, 560,436.84 and 262,910.16 is: 362,765.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,170 : 560,436.84 = 262,910.16 : x
  2. Step 2: Convert to fraction form
    406,170/560,436.84 = 262,910.16/x
  3. Step 3: Cross multiply
    406,170x = 560,436.84 × 262,910.16
  4. Step 4: Simplify right side
    406,170x = 147,344,539,274.29
  5. Step 5: Solve for x
    x = 147,344,539,274.29/406,170
  6. Step 6: Final answer
    x = 362,765.69

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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.