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Finding the Fourth Proportional to 387,564.96, 581,613.12 and 150,908.88

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Solution

The fourth proportional to 387,564.96, 581,613.12 and 150,908.88 is: 226,466.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,564.96 : 581,613.12 = 150,908.88 : x
  2. Step 2: Convert to fraction form
    387,564.96/581,613.12 = 150,908.88/x
  3. Step 3: Cross multiply
    387,564.96x = 581,613.12 × 150,908.88
  4. Step 4: Simplify right side
    387,564.96x = 87,770,584,532.51
  5. Step 5: Solve for x
    x = 87,770,584,532.51/387,564.96
  6. Step 6: Final answer
    x = 226,466.77

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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.