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Finding the Fourth Proportional to 509,212.80, 711,964.80 and 509,212.80

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Solution

The fourth proportional to 509,212.80, 711,964.80 and 509,212.80 is: 711,964.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,212.80 : 711,964.80 = 509,212.80 : x
  2. Step 2: Convert to fraction form
    509,212.80/711,964.80 = 509,212.80/x
  3. Step 3: Cross multiply
    509,212.80x = 711,964.80 × 509,212.80
  4. Step 4: Simplify right side
    509,212.80x = 362,541,589,309.44
  5. Step 5: Solve for x
    x = 362,541,589,309.44/509,212.80
  6. Step 6: Final answer
    x = 711,964.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.