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Finding the Fourth Proportional to 280,805.28, 420,955.04 and 103,274.32

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Solution

The fourth proportional to 280,805.28, 420,955.04 and 103,274.32 is: 154,818.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,805.28 : 420,955.04 = 103,274.32 : x
  2. Step 2: Convert to fraction form
    280,805.28/420,955.04 = 103,274.32/x
  3. Step 3: Cross multiply
    280,805.28x = 420,955.04 × 103,274.32
  4. Step 4: Simplify right side
    280,805.28x = 43,473,845,506.57
  5. Step 5: Solve for x
    x = 43,473,845,506.57/280,805.28
  6. Step 6: Final answer
    x = 154,818.48

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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.