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Finding the Fourth Proportional to 280,498.69, 420,747.99 and 70,136.62

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Solution

The fourth proportional to 280,498.69, 420,747.99 and 70,136.62 is: 105,204.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,498.69 : 420,747.99 = 70,136.62 : x
  2. Step 2: Convert to fraction form
    280,498.69/420,747.99 = 70,136.62/x
  3. Step 3: Cross multiply
    280,498.69x = 420,747.99 × 70,136.62
  4. Step 4: Simplify right side
    280,498.69x = 29,509,841,890.39
  5. Step 5: Solve for x
    x = 29,509,841,890.39/280,498.69
  6. Step 6: Final answer
    x = 105,204.92

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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.