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Finding the Fourth Proportional to 387,576.32, 581,096.16 and 197,668.16

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Solution

The fourth proportional to 387,576.32, 581,096.16 and 197,668.16 is: 296,365.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,576.32 : 581,096.16 = 197,668.16 : x
  2. Step 2: Convert to fraction form
    387,576.32/581,096.16 = 197,668.16/x
  3. Step 3: Cross multiply
    387,576.32x = 581,096.16 × 197,668.16
  4. Step 4: Simplify right side
    387,576.32x = 114,864,208,730.27
  5. Step 5: Solve for x
    x = 114,864,208,730.27/387,576.32
  6. Step 6: Final answer
    x = 296,365.39

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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.