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Finding the Fourth Proportional to 406,120, 560,367.84 and 262,860.16

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Solution

The fourth proportional to 406,120, 560,367.84 and 262,860.16 is: 362,696.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,120 : 560,367.84 = 262,860.16 : x
  2. Step 2: Convert to fraction form
    406,120/560,367.84 = 262,860.16/x
  3. Step 3: Cross multiply
    406,120x = 560,367.84 × 262,860.16
  4. Step 4: Simplify right side
    406,120x = 147,298,380,081.25
  5. Step 5: Solve for x
    x = 147,298,380,081.25/406,120
  6. Step 6: Final answer
    x = 362,696.69

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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.