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Finding the Fourth Proportional to 509,992.36, 703,814.40 and 283,633

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Solution

The fourth proportional to 509,992.36, 703,814.40 and 283,633 is: 391,427.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,992.36 : 703,814.40 = 283,633 : x
  2. Step 2: Convert to fraction form
    509,992.36/703,814.40 = 283,633/x
  3. Step 3: Cross multiply
    509,992.36x = 703,814.40 × 283,633
  4. Step 4: Simplify right side
    509,992.36x = 199,624,989,715.20
  5. Step 5: Solve for x
    x = 199,624,989,715.20/509,992.36
  6. Step 6: Final answer
    x = 391,427.41

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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.