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Finding the Fourth Proportional to 316,902.09, 475,033.27 and 198,656.47

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Solution

The fourth proportional to 316,902.09, 475,033.27 and 198,656.47 is: 297,784.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,902.09 : 475,033.27 = 198,656.47 : x
  2. Step 2: Convert to fraction form
    316,902.09/475,033.27 = 198,656.47/x
  3. Step 3: Cross multiply
    316,902.09x = 475,033.27 × 198,656.47
  4. Step 4: Simplify right side
    316,902.09x = 94,368,432,550.76
  5. Step 5: Solve for x
    x = 94,368,432,550.76/316,902.09
  6. Step 6: Final answer
    x = 297,784.19

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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.