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Finding the Fourth Proportional to 535,718.32, 739,285 and 309,358.96

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Solution

The fourth proportional to 535,718.32, 739,285 and 309,358.96 is: 426,911.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,718.32 : 739,285 = 309,358.96 : x
  2. Step 2: Convert to fraction form
    535,718.32/739,285 = 309,358.96/x
  3. Step 3: Cross multiply
    535,718.32x = 739,285 × 309,358.96
  4. Step 4: Simplify right side
    535,718.32x = 228,704,438,743.60
  5. Step 5: Solve for x
    x = 228,704,438,743.60/535,718.32
  6. Step 6: Final answer
    x = 426,911.74

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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.