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Finding the Fourth Proportional to 520,268.40, 780,548.40 and 254,037.60

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Solution

The fourth proportional to 520,268.40, 780,548.40 and 254,037.60 is: 381,127.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,268.40 : 780,548.40 = 254,037.60 : x
  2. Step 2: Convert to fraction form
    520,268.40/780,548.40 = 254,037.60/x
  3. Step 3: Cross multiply
    520,268.40x = 780,548.40 × 254,037.60
  4. Step 4: Simplify right side
    520,268.40x = 198,288,642,219.84
  5. Step 5: Solve for x
    x = 198,288,642,219.84/520,268.40
  6. Step 6: Final answer
    x = 381,127.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.