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Finding the Fourth Proportional to 556,824.15, 768,416.90 and 315,102.33

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Solution

The fourth proportional to 556,824.15, 768,416.90 and 315,102.33 is: 434,840.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,824.15 : 768,416.90 = 315,102.33 : x
  2. Step 2: Convert to fraction form
    556,824.15/768,416.90 = 315,102.33/x
  3. Step 3: Cross multiply
    556,824.15x = 768,416.90 × 315,102.33
  4. Step 4: Simplify right side
    556,824.15x = 242,129,954,025.87
  5. Step 5: Solve for x
    x = 242,129,954,025.87/556,824.15
  6. Step 6: Final answer
    x = 434,840.97

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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.