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Finding the Fourth Proportional to 395,345.61, 545,576.31 and 214,057.53

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Solution

The fourth proportional to 395,345.61, 545,576.31 and 214,057.53 is: 295,399.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,345.61 : 545,576.31 = 214,057.53 : x
  2. Step 2: Convert to fraction form
    395,345.61/545,576.31 = 214,057.53/x
  3. Step 3: Cross multiply
    395,345.61x = 545,576.31 × 214,057.53
  4. Step 4: Simplify right side
    395,345.61x = 116,784,717,345.11
  5. Step 5: Solve for x
    x = 116,784,717,345.11/395,345.61
  6. Step 6: Final answer
    x = 295,399.05

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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.