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Finding the Fourth Proportional to 280,434.66, 420,653.07 and 70,072.80

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Solution

The fourth proportional to 280,434.66, 420,653.07 and 70,072.80 is: 105,109.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,434.66 : 420,653.07 = 70,072.80 : x
  2. Step 2: Convert to fraction form
    280,434.66/420,653.07 = 70,072.80/x
  3. Step 3: Cross multiply
    280,434.66x = 420,653.07 × 70,072.80
  4. Step 4: Simplify right side
    280,434.66x = 29,476,338,443.50
  5. Step 5: Solve for x
    x = 29,476,338,443.50/280,434.66
  6. Step 6: Final answer
    x = 105,109.47

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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.