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Finding the Fourth Proportional to 458,305.63, 687,457.23 and 258,535.33

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Solution

The fourth proportional to 458,305.63, 687,457.23 and 258,535.33 is: 387,802.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,305.63 : 687,457.23 = 258,535.33 : x
  2. Step 2: Convert to fraction form
    458,305.63/687,457.23 = 258,535.33/x
  3. Step 3: Cross multiply
    458,305.63x = 687,457.23 × 258,535.33
  4. Step 4: Simplify right side
    458,305.63x = 177,731,981,818.94
  5. Step 5: Solve for x
    x = 177,731,981,818.94/458,305.63
  6. Step 6: Final answer
    x = 387,802.31

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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.