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Finding the Fourth Proportional to 280,089.54, 420,321.12 and 145,277.88

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Solution

The fourth proportional to 280,089.54, 420,321.12 and 145,277.88 is: 218,013.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,089.54 : 420,321.12 = 145,277.88 : x
  2. Step 2: Convert to fraction form
    280,089.54/420,321.12 = 145,277.88/x
  3. Step 3: Cross multiply
    280,089.54x = 420,321.12 × 145,277.88
  4. Step 4: Simplify right side
    280,089.54x = 61,063,361,232.83
  5. Step 5: Solve for x
    x = 61,063,361,232.83/280,089.54
  6. Step 6: Final answer
    x = 218,013.72

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1.5x scale

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.