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Finding the Fourth Proportional to 406,309, 560,520.36 and 263,115.16

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Solution

The fourth proportional to 406,309, 560,520.36 and 263,115.16 is: 362,978.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,309 : 560,520.36 = 263,115.16 : x
  2. Step 2: Convert to fraction form
    406,309/560,520.36 = 263,115.16/x
  3. Step 3: Cross multiply
    406,309x = 560,520.36 × 263,115.16
  4. Step 4: Simplify right side
    406,309x = 147,481,404,204.66
  5. Step 5: Solve for x
    x = 147,481,404,204.66/406,309
  6. Step 6: Final answer
    x = 362,978.43

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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.