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Finding the Fourth Proportional to 511,503.64, 705,878.04 and 296,771.56

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Solution

The fourth proportional to 511,503.64, 705,878.04 and 296,771.56 is: 409,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,503.64 : 705,878.04 = 296,771.56 : x
  2. Step 2: Convert to fraction form
    511,503.64/705,878.04 = 296,771.56/x
  3. Step 3: Cross multiply
    511,503.64x = 705,878.04 × 296,771.56
  4. Step 4: Simplify right side
    511,503.64x = 209,484,527,100.54
  5. Step 5: Solve for x
    x = 209,484,527,100.54/511,503.64
  6. Step 6: Final answer
    x = 409,546.50

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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.