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Finding the Fourth Proportional to 672,160, 1,007,883.60 and 198,779.80

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Solution

The fourth proportional to 672,160, 1,007,883.60 and 198,779.80 is: 298,064.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,160 : 1,007,883.60 = 198,779.80 : x
  2. Step 2: Convert to fraction form
    672,160/1,007,883.60 = 198,779.80/x
  3. Step 3: Cross multiply
    672,160x = 1,007,883.60 × 198,779.80
  4. Step 4: Simplify right side
    672,160x = 200,346,900,431.28
  5. Step 5: Solve for x
    x = 200,346,900,431.28/672,160
  6. Step 6: Final answer
    x = 298,064.30

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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.