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Finding the Fourth Proportional to 569,634.21, 785,827.55 and 406,326.80

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Solution

The fourth proportional to 569,634.21, 785,827.55 and 406,326.80 is: 560,540.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,634.21 : 785,827.55 = 406,326.80 : x
  2. Step 2: Convert to fraction form
    569,634.21/785,827.55 = 406,326.80/x
  3. Step 3: Cross multiply
    569,634.21x = 785,827.55 × 406,326.80
  4. Step 4: Simplify right side
    569,634.21x = 319,302,787,782.57
  5. Step 5: Solve for x
    x = 319,302,787,782.57/569,634.21
  6. Step 6: Final answer
    x = 560,540.05

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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.