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Finding the Fourth Proportional to 316,899.09, 475,028.78 and 198,653.47

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Solution

The fourth proportional to 316,899.09, 475,028.78 and 198,653.47 is: 297,779.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,899.09 : 475,028.78 = 198,653.47 : x
  2. Step 2: Convert to fraction form
    316,899.09/475,028.78 = 198,653.47/x
  3. Step 3: Cross multiply
    316,899.09x = 475,028.78 × 198,653.47
  4. Step 4: Simplify right side
    316,899.09x = 94,366,113,316.03
  5. Step 5: Solve for x
    x = 94,366,113,316.03/316,899.09
  6. Step 6: Final answer
    x = 297,779.69

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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.