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Finding the Fourth Proportional to 280,851.60, 421,277.40 and 103,485.90

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Solution

The fourth proportional to 280,851.60, 421,277.40 and 103,485.90 is: 155,228.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,851.60 : 421,277.40 = 103,485.90 : x
  2. Step 2: Convert to fraction form
    280,851.60/421,277.40 = 103,485.90/x
  3. Step 3: Cross multiply
    280,851.60x = 421,277.40 × 103,485.90
  4. Step 4: Simplify right side
    280,851.60x = 43,596,270,888.66
  5. Step 5: Solve for x
    x = 43,596,270,888.66/280,851.60
  6. Step 6: Final answer
    x = 155,228.85

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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.