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Finding the Fourth Proportional to 511,180.84, 705,420.29 and 278,609.79

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Solution

The fourth proportional to 511,180.84, 705,420.29 and 278,609.79 is: 384,476.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,180.84 : 705,420.29 = 278,609.79 : x
  2. Step 2: Convert to fraction form
    511,180.84/705,420.29 = 278,609.79/x
  3. Step 3: Cross multiply
    511,180.84x = 705,420.29 × 278,609.79
  4. Step 4: Simplify right side
    511,180.84x = 196,536,999,555.16
  5. Step 5: Solve for x
    x = 196,536,999,555.16/511,180.84
  6. Step 6: Final answer
    x = 384,476.46

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1.5x scale

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.