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Finding the Fourth Proportional to 280,477.27, 420,465.82 and 102,943.09

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Solution

The fourth proportional to 280,477.27, 420,465.82 and 102,943.09 is: 154,322.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,477.27 : 420,465.82 = 102,943.09 : x
  2. Step 2: Convert to fraction form
    280,477.27/420,465.82 = 102,943.09/x
  3. Step 3: Cross multiply
    280,477.27x = 420,465.82 × 102,943.09
  4. Step 4: Simplify right side
    280,477.27x = 43,284,050,750.18
  5. Step 5: Solve for x
    x = 43,284,050,750.18/280,477.27
  6. Step 6: Final answer
    x = 154,322.85

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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.