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Finding the Fourth Proportional to 497,165.82, 685,800.28 and 313,332.36

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Solution

The fourth proportional to 497,165.82, 685,800.28 and 313,332.36 is: 432,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,165.82 : 685,800.28 = 313,332.36 : x
  2. Step 2: Convert to fraction form
    497,165.82/685,800.28 = 313,332.36/x
  3. Step 3: Cross multiply
    497,165.82x = 685,800.28 × 313,332.36
  4. Step 4: Simplify right side
    497,165.82x = 214,883,420,221.06
  5. Step 5: Solve for x
    x = 214,883,420,221.06/497,165.82
  6. Step 6: Final answer
    x = 432,216.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.