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Finding the Fourth Proportional to 353,803.93, 488,261.45 and 198,782.53

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Solution

The fourth proportional to 353,803.93, 488,261.45 and 198,782.53 is: 274,326.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,803.93 : 488,261.45 = 198,782.53 : x
  2. Step 2: Convert to fraction form
    353,803.93/488,261.45 = 198,782.53/x
  3. Step 3: Cross multiply
    353,803.93x = 488,261.45 × 198,782.53
  4. Step 4: Simplify right side
    353,803.93x = 97,057,846,332.47
  5. Step 5: Solve for x
    x = 97,057,846,332.47/353,803.93
  6. Step 6: Final answer
    x = 274,326.65

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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.