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Finding the Fourth Proportional to 358,479.47, 494,707.91 and 205,542.56

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Solution

The fourth proportional to 358,479.47, 494,707.91 and 205,542.56 is: 283,652.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,479.47 : 494,707.91 = 205,542.56 : x
  2. Step 2: Convert to fraction form
    358,479.47/494,707.91 = 205,542.56/x
  3. Step 3: Cross multiply
    358,479.47x = 494,707.91 × 205,542.56
  4. Step 4: Simplify right side
    358,479.47x = 101,683,530,482.71
  5. Step 5: Solve for x
    x = 101,683,530,482.71/358,479.47
  6. Step 6: Final answer
    x = 283,652.31

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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.