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Finding the Fourth Proportional to 316,893.47, 475,020.35 and 198,647.84

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Solution

The fourth proportional to 316,893.47, 475,020.35 and 198,647.84 is: 297,771.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,893.47 : 475,020.35 = 198,647.84 : x
  2. Step 2: Convert to fraction form
    316,893.47/475,020.35 = 198,647.84/x
  3. Step 3: Cross multiply
    316,893.47x = 475,020.35 × 198,647.84
  4. Step 4: Simplify right side
    316,893.47x = 94,361,767,422.79
  5. Step 5: Solve for x
    x = 94,361,767,422.79/316,893.47
  6. Step 6: Final answer
    x = 297,771.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.