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Finding the Fourth Proportional to 458,730.72, 688,095.84 and 300,922.56

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Solution

The fourth proportional to 458,730.72, 688,095.84 and 300,922.56 is: 451,383.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,730.72 : 688,095.84 = 300,922.56 : x
  2. Step 2: Convert to fraction form
    458,730.72/688,095.84 = 300,922.56/x
  3. Step 3: Cross multiply
    458,730.72x = 688,095.84 × 300,922.56
  4. Step 4: Simplify right side
    458,730.72x = 207,063,561,698.15
  5. Step 5: Solve for x
    x = 207,063,561,698.15/458,730.72
  6. Step 6: Final answer
    x = 451,383.68

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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.