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Finding the Fourth Proportional to 280,509.32, 420,887.30 and 147,358.64

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Solution

The fourth proportional to 280,509.32, 420,887.30 and 147,358.64 is: 221,102.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,509.32 : 420,887.30 = 147,358.64 : x
  2. Step 2: Convert to fraction form
    280,509.32/420,887.30 = 147,358.64/x
  3. Step 3: Cross multiply
    280,509.32x = 420,887.30 × 147,358.64
  4. Step 4: Simplify right side
    280,509.32x = 62,021,380,121.27
  5. Step 5: Solve for x
    x = 62,021,380,121.27/280,509.32
  6. Step 6: Final answer
    x = 221,102.74

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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.