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Finding the Fourth Proportional to 565,392.60, 780,232.74 and 310,738.32

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Solution

The fourth proportional to 565,392.60, 780,232.74 and 310,738.32 is: 428,813.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,392.60 : 780,232.74 = 310,738.32 : x
  2. Step 2: Convert to fraction form
    565,392.60/780,232.74 = 310,738.32/x
  3. Step 3: Cross multiply
    565,392.60x = 780,232.74 × 310,738.32
  4. Step 4: Simplify right side
    565,392.60x = 242,448,210,836.60
  5. Step 5: Solve for x
    x = 242,448,210,836.60/565,392.60
  6. Step 6: Final answer
    x = 428,813.91

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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.