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Finding the Fourth Proportional to 407,388, 562,199.28 and 228,543.84

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Solution

The fourth proportional to 407,388, 562,199.28 and 228,543.84 is: 315,392.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,388 : 562,199.28 = 228,543.84 : x
  2. Step 2: Convert to fraction form
    407,388/562,199.28 = 228,543.84/x
  3. Step 3: Cross multiply
    407,388x = 562,199.28 × 228,543.84
  4. Step 4: Simplify right side
    407,388x = 128,487,182,296.44
  5. Step 5: Solve for x
    x = 128,487,182,296.44/407,388
  6. Step 6: Final answer
    x = 315,392.65

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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.