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Finding the Fourth Proportional to 509,839.16, 703,549.14 and 283,479.80

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Solution

The fourth proportional to 509,839.16, 703,549.14 and 283,479.80 is: 391,186.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,839.16 : 703,549.14 = 283,479.80 : x
  2. Step 2: Convert to fraction form
    509,839.16/703,549.14 = 283,479.80/x
  3. Step 3: Cross multiply
    509,839.16x = 703,549.14 × 283,479.80
  4. Step 4: Simplify right side
    509,839.16x = 199,441,969,497.37
  5. Step 5: Solve for x
    x = 199,441,969,497.37/509,839.16
  6. Step 6: Final answer
    x = 391,186.05

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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.