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Finding the Fourth Proportional to 280,806.72, 420,973.16 and 130,968.06

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Solution

The fourth proportional to 280,806.72, 420,973.16 and 130,968.06 is: 196,341.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,806.72 : 420,973.16 = 130,968.06 : x
  2. Step 2: Convert to fraction form
    280,806.72/420,973.16 = 130,968.06/x
  3. Step 3: Cross multiply
    280,806.72x = 420,973.16 × 130,968.06
  4. Step 4: Simplify right side
    280,806.72x = 55,134,038,077.27
  5. Step 5: Solve for x
    x = 55,134,038,077.27/280,806.72
  6. Step 6: Final answer
    x = 196,341.59

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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.