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Finding the Fourth Proportional to 353,802.93, 488,260.07 and 198,781.53

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Solution

The fourth proportional to 353,802.93, 488,260.07 and 198,781.53 is: 274,325.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,802.93 : 488,260.07 = 198,781.53 : x
  2. Step 2: Convert to fraction form
    353,802.93/488,260.07 = 198,781.53/x
  3. Step 3: Cross multiply
    353,802.93x = 488,260.07 × 198,781.53
  4. Step 4: Simplify right side
    353,802.93x = 97,057,083,752.51
  5. Step 5: Solve for x
    x = 97,057,083,752.51/353,802.93
  6. Step 6: Final answer
    x = 274,325.27

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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.