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Finding the Fourth Proportional to 280,870.20, 421,305.30 and 259,000.20

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Solution

The fourth proportional to 280,870.20, 421,305.30 and 259,000.20 is: 388,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,870.20 : 421,305.30 = 259,000.20 : x
  2. Step 2: Convert to fraction form
    280,870.20/421,305.30 = 259,000.20/x
  3. Step 3: Cross multiply
    280,870.20x = 421,305.30 × 259,000.20
  4. Step 4: Simplify right side
    280,870.20x = 109,118,156,961.06
  5. Step 5: Solve for x
    x = 109,118,156,961.06/280,870.20
  6. Step 6: Final answer
    x = 388,500.30

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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.