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Finding the Fourth Proportional to 511,559.60, 705,964.65 and 282,120.21

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Solution

The fourth proportional to 511,559.60, 705,964.65 and 282,120.21 is: 389,332.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,559.60 : 705,964.65 = 282,120.21 : x
  2. Step 2: Convert to fraction form
    511,559.60/705,964.65 = 282,120.21/x
  3. Step 3: Cross multiply
    511,559.60x = 705,964.65 × 282,120.21
  4. Step 4: Simplify right side
    511,559.60x = 199,166,895,310.58
  5. Step 5: Solve for x
    x = 199,166,895,310.58/511,559.60
  6. Step 6: Final answer
    x = 389,332.73

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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.