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Finding the Fourth Proportional to 565,758.60, 780,745.76 and 324,119.40

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Solution

The fourth proportional to 565,758.60, 780,745.76 and 324,119.40 is: 447,284.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,758.60 : 780,745.76 = 324,119.40 : x
  2. Step 2: Convert to fraction form
    565,758.60/780,745.76 = 324,119.40/x
  3. Step 3: Cross multiply
    565,758.60x = 780,745.76 × 324,119.40
  4. Step 4: Simplify right side
    565,758.60x = 253,054,847,283.74
  5. Step 5: Solve for x
    x = 253,054,847,283.74/565,758.60
  6. Step 6: Final answer
    x = 447,284.14

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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.