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Finding the Fourth Proportional to 355,966.50, 491,111.63 and 202,894.28

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Solution

The fourth proportional to 355,966.50, 491,111.63 and 202,894.28 is: 279,924.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,966.50 : 491,111.63 = 202,894.28 : x
  2. Step 2: Convert to fraction form
    355,966.50/491,111.63 = 202,894.28/x
  3. Step 3: Cross multiply
    355,966.50x = 491,111.63 × 202,894.28
  4. Step 4: Simplify right side
    355,966.50x = 99,643,737,098.45
  5. Step 5: Solve for x
    x = 99,643,737,098.45/355,966.50
  6. Step 6: Final answer
    x = 279,924.48

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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.