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Finding the Fourth Proportional to 509,651.58, 703,326.98 and 280,218.80

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Solution

The fourth proportional to 509,651.58, 703,326.98 and 280,218.80 is: 386,706.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,651.58 : 703,326.98 = 280,218.80 : x
  2. Step 2: Convert to fraction form
    509,651.58/703,326.98 = 280,218.80/x
  3. Step 3: Cross multiply
    509,651.58x = 703,326.98 × 280,218.80
  4. Step 4: Simplify right side
    509,651.58x = 197,085,442,343.22
  5. Step 5: Solve for x
    x = 197,085,442,343.22/509,651.58
  6. Step 6: Final answer
    x = 386,706.23

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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.