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Finding the Fourth Proportional to 419,485.48, 578,873.64 and 256,415.02

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Solution

The fourth proportional to 419,485.48, 578,873.64 and 256,415.02 is: 353,842.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,485.48 : 578,873.64 = 256,415.02 : x
  2. Step 2: Convert to fraction form
    419,485.48/578,873.64 = 256,415.02/x
  3. Step 3: Cross multiply
    419,485.48x = 578,873.64 × 256,415.02
  4. Step 4: Simplify right side
    419,485.48x = 148,431,895,978.07
  5. Step 5: Solve for x
    x = 148,431,895,978.07/419,485.48
  6. Step 6: Final answer
    x = 353,842.75

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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.