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Finding the Fourth Proportional to 501,835.70, 692,515.33 and 284,039.69

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Solution

The fourth proportional to 501,835.70, 692,515.33 and 284,039.69 is: 391,964.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,835.70 : 692,515.33 = 284,039.69 : x
  2. Step 2: Convert to fraction form
    501,835.70/692,515.33 = 284,039.69/x
  3. Step 3: Cross multiply
    501,835.70x = 692,515.33 × 284,039.69
  4. Step 4: Simplify right side
    501,835.70x = 196,701,839,653.45
  5. Step 5: Solve for x
    x = 196,701,839,653.45/501,835.70
  6. Step 6: Final answer
    x = 391,964.62

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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.