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Finding the Fourth Proportional to 466,554.56, 643,513.60 and 311,427.60

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Solution

The fourth proportional to 466,554.56, 643,513.60 and 311,427.60 is: 429,548.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,554.56 : 643,513.60 = 311,427.60 : x
  2. Step 2: Convert to fraction form
    466,554.56/643,513.60 = 311,427.60/x
  3. Step 3: Cross multiply
    466,554.56x = 643,513.60 × 311,427.60
  4. Step 4: Simplify right side
    466,554.56x = 200,407,896,015.36
  5. Step 5: Solve for x
    x = 200,407,896,015.36/466,554.56
  6. Step 6: Final answer
    x = 429,548.68

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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.