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Finding the Fourth Proportional to 535,284, 738,691.92 and 296,820

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Solution

The fourth proportional to 535,284, 738,691.92 and 296,820 is: 409,611.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,284 : 738,691.92 = 296,820 : x
  2. Step 2: Convert to fraction form
    535,284/738,691.92 = 296,820/x
  3. Step 3: Cross multiply
    535,284x = 738,691.92 × 296,820
  4. Step 4: Simplify right side
    535,284x = 219,258,535,694.40
  5. Step 5: Solve for x
    x = 219,258,535,694.40/535,284
  6. Step 6: Final answer
    x = 409,611.60

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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.