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Finding the Fourth Proportional to 446,479.92, 669,812.15 and 146,978.47

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Solution

The fourth proportional to 446,479.92, 669,812.15 and 146,978.47 is: 220,498.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,479.92 : 669,812.15 = 146,978.47 : x
  2. Step 2: Convert to fraction form
    446,479.92/669,812.15 = 146,978.47/x
  3. Step 3: Cross multiply
    446,479.92x = 669,812.15 × 146,978.47
  4. Step 4: Simplify right side
    446,479.92x = 98,447,965,372.37
  5. Step 5: Solve for x
    x = 98,447,965,372.37/446,479.92
  6. Step 6: Final answer
    x = 220,498.08

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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.