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Finding the Fourth Proportional to 585,435.23, 807,856.03 and 355,960.64

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Solution

The fourth proportional to 585,435.23, 807,856.03 and 355,960.64 is: 491,198.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,435.23 : 807,856.03 = 355,960.64 : x
  2. Step 2: Convert to fraction form
    585,435.23/807,856.03 = 355,960.64/x
  3. Step 3: Cross multiply
    585,435.23x = 807,856.03 × 355,960.64
  4. Step 4: Simplify right side
    585,435.23x = 287,564,951,931.25
  5. Step 5: Solve for x
    x = 287,564,951,931.25/585,435.23
  6. Step 6: Final answer
    x = 491,198.58

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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.