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Finding the Fourth Proportional to 511,332.80, 767,344.80 and 286,692.80

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Solution

The fourth proportional to 511,332.80, 767,344.80 and 286,692.80 is: 430,232.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,332.80 : 767,344.80 = 286,692.80 : x
  2. Step 2: Convert to fraction form
    511,332.80/767,344.80 = 286,692.80/x
  3. Step 3: Cross multiply
    511,332.80x = 767,344.80 × 286,692.80
  4. Step 4: Simplify right side
    511,332.80x = 219,992,229,277.44
  5. Step 5: Solve for x
    x = 219,992,229,277.44/511,332.80
  6. Step 6: Final answer
    x = 430,232.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.