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Finding the Fourth Proportional to 511,513.50, 705,595.62 and 320,194.74

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Solution

The fourth proportional to 511,513.50, 705,595.62 and 320,194.74 is: 441,685.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,513.50 : 705,595.62 = 320,194.74 : x
  2. Step 2: Convert to fraction form
    511,513.50/705,595.62 = 320,194.74/x
  3. Step 3: Cross multiply
    511,513.50x = 705,595.62 × 320,194.74
  4. Step 4: Simplify right side
    511,513.50x = 225,928,007,291.77
  5. Step 5: Solve for x
    x = 225,928,007,291.77/511,513.50
  6. Step 6: Final answer
    x = 441,685.33

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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.