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Finding the Fourth Proportional to 511,755.49, 706,211.24 and 282,312.95

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Solution

The fourth proportional to 511,755.49, 706,211.24 and 282,312.95 is: 389,585.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,755.49 : 706,211.24 = 282,312.95 : x
  2. Step 2: Convert to fraction form
    511,755.49/706,211.24 = 282,312.95/x
  3. Step 3: Cross multiply
    511,755.49x = 706,211.24 × 282,312.95
  4. Step 4: Simplify right side
    511,755.49x = 199,372,578,487.56
  5. Step 5: Solve for x
    x = 199,372,578,487.56/511,755.49
  6. Step 6: Final answer
    x = 389,585.62

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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.