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Finding the Fourth Proportional to 407,762.88, 562,712.77 and 228,914.88

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Solution

The fourth proportional to 407,762.88, 562,712.77 and 228,914.88 is: 315,902.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,762.88 : 562,712.77 = 228,914.88 : x
  2. Step 2: Convert to fraction form
    407,762.88/562,712.77 = 228,914.88/x
  3. Step 3: Cross multiply
    407,762.88x = 562,712.77 × 228,914.88
  4. Step 4: Simplify right side
    407,762.88x = 128,813,322,833.17
  5. Step 5: Solve for x
    x = 128,813,322,833.17/407,762.88
  6. Step 6: Final answer
    x = 315,902.53

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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.