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Finding the Fourth Proportional to 501,845.84, 692,378.60 and 320,663.84

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Solution

The fourth proportional to 501,845.84, 692,378.60 and 320,663.84 is: 442,408.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,845.84 : 692,378.60 = 320,663.84 : x
  2. Step 2: Convert to fraction form
    501,845.84/692,378.60 = 320,663.84/x
  3. Step 3: Cross multiply
    501,845.84x = 692,378.60 × 320,663.84
  4. Step 4: Simplify right side
    501,845.84x = 222,020,780,609.82
  5. Step 5: Solve for x
    x = 222,020,780,609.82/501,845.84
  6. Step 6: Final answer
    x = 442,408.33

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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.