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Finding the Fourth Proportional to 316,712.76, 436,897.96 and 195,815.40

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Solution

The fourth proportional to 316,712.76, 436,897.96 and 195,815.40 is: 270,122.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,712.76 : 436,897.96 = 195,815.40 : x
  2. Step 2: Convert to fraction form
    316,712.76/436,897.96 = 195,815.40/x
  3. Step 3: Cross multiply
    316,712.76x = 436,897.96 × 195,815.40
  4. Step 4: Simplify right side
    316,712.76x = 85,551,348,796.58
  5. Step 5: Solve for x
    x = 85,551,348,796.58/316,712.76
  6. Step 6: Final answer
    x = 270,122.84

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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.