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Finding the Fourth Proportional to 647,805.38, 893,968.89 and 357,435

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Solution

The fourth proportional to 647,805.38, 893,968.89 and 357,435 is: 493,258.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,805.38 : 893,968.89 = 357,435 : x
  2. Step 2: Convert to fraction form
    647,805.38/893,968.89 = 357,435/x
  3. Step 3: Cross multiply
    647,805.38x = 893,968.89 × 357,435
  4. Step 4: Simplify right side
    647,805.38x = 319,535,770,197.15
  5. Step 5: Solve for x
    x = 319,535,770,197.15/647,805.38
  6. Step 6: Final answer
    x = 493,258.91

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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.