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Finding the Fourth Proportional to 509,945.44, 765,266.64 and 177,521.44

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Solution

The fourth proportional to 509,945.44, 765,266.64 and 177,521.44 is: 266,403.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,945.44 : 765,266.64 = 177,521.44 : x
  2. Step 2: Convert to fraction form
    509,945.44/765,266.64 = 177,521.44/x
  3. Step 3: Cross multiply
    509,945.44x = 765,266.64 × 177,521.44
  4. Step 4: Simplify right side
    509,945.44x = 135,851,235,916.76
  5. Step 5: Solve for x
    x = 135,851,235,916.76/509,945.44
  6. Step 6: Final answer
    x = 266,403.47

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1.5x scale

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.