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Finding the Fourth Proportional to 280,931.06, 420,992.40 and 120,963.08

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Solution

The fourth proportional to 280,931.06, 420,992.40 and 120,963.08 is: 181,270.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,931.06 : 420,992.40 = 120,963.08 : x
  2. Step 2: Convert to fraction form
    280,931.06/420,992.40 = 120,963.08/x
  3. Step 3: Cross multiply
    280,931.06x = 420,992.40 × 120,963.08
  4. Step 4: Simplify right side
    280,931.06x = 50,924,537,360.59
  5. Step 5: Solve for x
    x = 50,924,537,360.59/280,931.06
  6. Step 6: Final answer
    x = 181,270.58

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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.