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Finding the Fourth Proportional to 407,580, 562,512.24 and 228,732

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Solution

The fourth proportional to 407,580, 562,512.24 and 228,732 is: 315,679.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,580 : 562,512.24 = 228,732 : x
  2. Step 2: Convert to fraction form
    407,580/562,512.24 = 228,732/x
  3. Step 3: Cross multiply
    407,580x = 562,512.24 × 228,732
  4. Step 4: Simplify right side
    407,580x = 128,664,549,679.68
  5. Step 5: Solve for x
    x = 128,664,549,679.68/407,580
  6. Step 6: Final answer
    x = 315,679.25

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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.