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Finding the Fourth Proportional to 407,771.76, 562,725.04 and 228,923.76

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Solution

The fourth proportional to 407,771.76, 562,725.04 and 228,923.76 is: 315,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,771.76 : 562,725.04 = 228,923.76 : x
  2. Step 2: Convert to fraction form
    407,771.76/562,725.04 = 228,923.76/x
  3. Step 3: Cross multiply
    407,771.76x = 562,725.04 × 228,923.76
  4. Step 4: Simplify right side
    407,771.76x = 128,821,132,002.95
  5. Step 5: Solve for x
    x = 128,821,132,002.95/407,771.76
  6. Step 6: Final answer
    x = 315,914.80

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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.