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Finding the Fourth Proportional to 511,991.40, 706,565.10 and 279,431.04

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Solution

The fourth proportional to 511,991.40, 706,565.10 and 279,431.04 is: 385,624.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,991.40 : 706,565.10 = 279,431.04 : x
  2. Step 2: Convert to fraction form
    511,991.40/706,565.10 = 279,431.04/x
  3. Step 3: Cross multiply
    511,991.40x = 706,565.10 × 279,431.04
  4. Step 4: Simplify right side
    511,991.40x = 197,436,220,720.70
  5. Step 5: Solve for x
    x = 197,436,220,720.70/511,991.40
  6. Step 6: Final answer
    x = 385,624.10

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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.