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Finding the Fourth Proportional to 511,914.84, 706,441.65 and 282,471.95

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Solution

The fourth proportional to 511,914.84, 706,441.65 and 282,471.95 is: 389,810.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,914.84 : 706,441.65 = 282,471.95 : x
  2. Step 2: Convert to fraction form
    511,914.84/706,441.65 = 282,471.95/x
  3. Step 3: Cross multiply
    511,914.84x = 706,441.65 × 282,471.95
  4. Step 4: Simplify right side
    511,914.84x = 199,549,945,492.15
  5. Step 5: Solve for x
    x = 199,549,945,492.15/511,914.84
  6. Step 6: Final answer
    x = 389,810.82

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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.