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Finding the Fourth Proportional to 497,176.86, 685,815.42 and 313,343.40

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Solution

The fourth proportional to 497,176.86, 685,815.42 and 313,343.40 is: 432,231.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,176.86 : 685,815.42 = 313,343.40 : x
  2. Step 2: Convert to fraction form
    497,176.86/685,815.42 = 313,343.40/x
  3. Step 3: Cross multiply
    497,176.86x = 685,815.42 × 313,343.40
  4. Step 4: Simplify right side
    497,176.86x = 214,895,735,475.23
  5. Step 5: Solve for x
    x = 214,895,735,475.23/497,176.86
  6. Step 6: Final answer
    x = 432,231.97

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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.