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Finding the Fourth Proportional to 427,576.16, 590,051.30 and 255,484.78

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Solution

The fourth proportional to 427,576.16, 590,051.30 and 255,484.78 is: 352,566.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,576.16 : 590,051.30 = 255,484.78 : x
  2. Step 2: Convert to fraction form
    427,576.16/590,051.30 = 255,484.78/x
  3. Step 3: Cross multiply
    427,576.16x = 590,051.30 × 255,484.78
  4. Step 4: Simplify right side
    427,576.16x = 150,749,126,569.21
  5. Step 5: Solve for x
    x = 150,749,126,569.21/427,576.16
  6. Step 6: Final answer
    x = 352,566.73

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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.