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Finding the Fourth Proportional to 565,284.48, 780,048 and 323,571.84

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Solution

The fourth proportional to 565,284.48, 780,048 and 323,571.84 is: 446,503.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,284.48 : 780,048 = 323,571.84 : x
  2. Step 2: Convert to fraction form
    565,284.48/780,048 = 323,571.84/x
  3. Step 3: Cross multiply
    565,284.48x = 780,048 × 323,571.84
  4. Step 4: Simplify right side
    565,284.48x = 252,401,566,648.32
  5. Step 5: Solve for x
    x = 252,401,566,648.32/565,284.48
  6. Step 6: Final answer
    x = 446,503.62

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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.