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Finding the Fourth Proportional to 550,411.72, 824,820.75 and 379,457.96

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Solution

The fourth proportional to 550,411.72, 824,820.75 and 379,457.96 is: 568,637.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,411.72 : 824,820.75 = 379,457.96 : x
  2. Step 2: Convert to fraction form
    550,411.72/824,820.75 = 379,457.96/x
  3. Step 3: Cross multiply
    550,411.72x = 824,820.75 × 379,457.96
  4. Step 4: Simplify right side
    550,411.72x = 312,984,795,036.57
  5. Step 5: Solve for x
    x = 312,984,795,036.57/550,411.72
  6. Step 6: Final answer
    x = 568,637.59

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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.