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Finding the Fourth Proportional to 303,876.80, 456,225.60 and 177,646.40

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Solution

The fourth proportional to 303,876.80, 456,225.60 and 177,646.40 is: 266,709.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,876.80 : 456,225.60 = 177,646.40 : x
  2. Step 2: Convert to fraction form
    303,876.80/456,225.60 = 177,646.40/x
  3. Step 3: Cross multiply
    303,876.80x = 456,225.60 × 177,646.40
  4. Step 4: Simplify right side
    303,876.80x = 81,046,835,427.84
  5. Step 5: Solve for x
    x = 81,046,835,427.84/303,876.80
  6. Step 6: Final answer
    x = 266,709.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.