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Finding the Fourth Proportional to 316,274.90, 436,639.82 and 209,155.64

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Solution

The fourth proportional to 316,274.90, 436,639.82 and 209,155.64 is: 288,754.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,274.90 : 436,639.82 = 209,155.64 : x
  2. Step 2: Convert to fraction form
    316,274.90/436,639.82 = 209,155.64/x
  3. Step 3: Cross multiply
    316,274.90x = 436,639.82 × 209,155.64
  4. Step 4: Simplify right side
    316,274.90x = 91,325,677,772.61
  5. Step 5: Solve for x
    x = 91,325,677,772.61/316,274.90
  6. Step 6: Final answer
    x = 288,754.12

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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.