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Finding the Fourth Proportional to 535,186.89, 738,580.29 and 293,478.75

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Solution

The fourth proportional to 535,186.89, 738,580.29 and 293,478.75 is: 405,012.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,186.89 : 738,580.29 = 293,478.75 : x
  2. Step 2: Convert to fraction form
    535,186.89/738,580.29 = 293,478.75/x
  3. Step 3: Cross multiply
    535,186.89x = 738,580.29 × 293,478.75
  4. Step 4: Simplify right side
    535,186.89x = 216,757,620,283.84
  5. Step 5: Solve for x
    x = 216,757,620,283.84/535,186.89
  6. Step 6: Final answer
    x = 405,012.95

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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.