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Finding the Fourth Proportional to 280,697.64, 421,045.86 and 112,257.32

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Solution

The fourth proportional to 280,697.64, 421,045.86 and 112,257.32 is: 168,385.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,697.64 : 421,045.86 = 112,257.32 : x
  2. Step 2: Convert to fraction form
    280,697.64/421,045.86 = 112,257.32/x
  3. Step 3: Cross multiply
    280,697.64x = 421,045.86 × 112,257.32
  4. Step 4: Simplify right side
    280,697.64x = 47,265,479,840.70
  5. Step 5: Solve for x
    x = 47,265,479,840.70/280,697.64
  6. Step 6: Final answer
    x = 168,385.74

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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.