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Finding the Fourth Proportional to 427,842.54, 590,431.41 and 255,937.86

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Solution

The fourth proportional to 427,842.54, 590,431.41 and 255,937.86 is: 353,199.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,842.54 : 590,431.41 = 255,937.86 : x
  2. Step 2: Convert to fraction form
    427,842.54/590,431.41 = 255,937.86/x
  3. Step 3: Cross multiply
    427,842.54x = 590,431.41 × 255,937.86
  4. Step 4: Simplify right side
    427,842.54x = 151,113,751,552.18
  5. Step 5: Solve for x
    x = 151,113,751,552.18/427,842.54
  6. Step 6: Final answer
    x = 353,199.45

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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.