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Finding the Fourth Proportional to 518,600, 715,668.02 and 280,136

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Solution

The fourth proportional to 518,600, 715,668.02 and 280,136 is: 386,587.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,600 : 715,668.02 = 280,136 : x
  2. Step 2: Convert to fraction form
    518,600/715,668.02 = 280,136/x
  3. Step 3: Cross multiply
    518,600x = 715,668.02 × 280,136
  4. Step 4: Simplify right side
    518,600x = 200,484,376,450.72
  5. Step 5: Solve for x
    x = 200,484,376,450.72/518,600
  6. Step 6: Final answer
    x = 386,587.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.