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Finding the Fourth Proportional to 550,372.20, 824,537.70 and 313,009.80

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Solution

The fourth proportional to 550,372.20, 824,537.70 and 313,009.80 is: 468,934.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,372.20 : 824,537.70 = 313,009.80 : x
  2. Step 2: Convert to fraction form
    550,372.20/824,537.70 = 313,009.80/x
  3. Step 3: Cross multiply
    550,372.20x = 824,537.70 × 313,009.80
  4. Step 4: Simplify right side
    550,372.20x = 258,088,380,569.46
  5. Step 5: Solve for x
    x = 258,088,380,569.46/550,372.20
  6. Step 6: Final answer
    x = 468,934.26

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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.