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Finding the Fourth Proportional to 584,860.50, 806,648.85 and 380,975.64

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Solution

The fourth proportional to 584,860.50, 806,648.85 and 380,975.64 is: 525,447.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,860.50 : 806,648.85 = 380,975.64 : x
  2. Step 2: Convert to fraction form
    584,860.50/806,648.85 = 380,975.64/x
  3. Step 3: Cross multiply
    584,860.50x = 806,648.85 × 380,975.64
  4. Step 4: Simplify right side
    584,860.50x = 307,313,561,884.01
  5. Step 5: Solve for x
    x = 307,313,561,884.01/584,860.50
  6. Step 6: Final answer
    x = 525,447.63

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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.