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Finding the Fourth Proportional to 535,100.16, 738,434.32 and 293,378.75

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Solution

The fourth proportional to 535,100.16, 738,434.32 and 293,378.75 is: 404,860.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,100.16 : 738,434.32 = 293,378.75 : x
  2. Step 2: Convert to fraction form
    535,100.16/738,434.32 = 293,378.75/x
  3. Step 3: Cross multiply
    535,100.16x = 738,434.32 × 293,378.75
  4. Step 4: Simplify right side
    535,100.16x = 216,640,933,333.08
  5. Step 5: Solve for x
    x = 216,640,933,333.08/535,100.16
  6. Step 6: Final answer
    x = 404,860.53

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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.