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Finding the Fourth Proportional to 280,426, 420,639.90 and 70,063.96

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Solution

The fourth proportional to 280,426, 420,639.90 and 70,063.96 is: 105,096.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,426 : 420,639.90 = 70,063.96 : x
  2. Step 2: Convert to fraction form
    280,426/420,639.90 = 70,063.96/x
  3. Step 3: Cross multiply
    280,426x = 420,639.90 × 70,063.96
  4. Step 4: Simplify right side
    280,426x = 29,471,697,128.00
  5. Step 5: Solve for x
    x = 29,471,697,128.00/280,426
  6. Step 6: Final answer
    x = 105,096.16

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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.