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Finding the Fourth Proportional to 501,806.70, 692,503.53 and 284,015.37

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Solution

The fourth proportional to 501,806.70, 692,503.53 and 284,015.37 is: 391,947.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,806.70 : 692,503.53 = 284,015.37 : x
  2. Step 2: Convert to fraction form
    501,806.70/692,503.53 = 284,015.37/x
  3. Step 3: Cross multiply
    501,806.70x = 692,503.53 × 284,015.37
  4. Step 4: Simplify right side
    501,806.70x = 196,681,642,126.70
  5. Step 5: Solve for x
    x = 196,681,642,126.70/501,806.70
  6. Step 6: Final answer
    x = 391,947.03

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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.