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Finding the Fourth Proportional to 565,391.28, 780,250 and 310,741.84

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Solution

The fourth proportional to 565,391.28, 780,250 and 310,741.84 is: 428,829.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,391.28 : 780,250 = 310,741.84 : x
  2. Step 2: Convert to fraction form
    565,391.28/780,250 = 310,741.84/x
  3. Step 3: Cross multiply
    565,391.28x = 780,250 × 310,741.84
  4. Step 4: Simplify right side
    565,391.28x = 242,456,320,660.00
  5. Step 5: Solve for x
    x = 242,456,320,660.00/565,391.28
  6. Step 6: Final answer
    x = 428,829.25

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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.