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Finding the Fourth Proportional to 497,432.63, 685,969.34 and 315,829.28

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Solution

The fourth proportional to 497,432.63, 685,969.34 and 315,829.28 is: 435,534.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,432.63 : 685,969.34 = 315,829.28 : x
  2. Step 2: Convert to fraction form
    497,432.63/685,969.34 = 315,829.28/x
  3. Step 3: Cross multiply
    497,432.63x = 685,969.34 × 315,829.28
  4. Step 4: Simplify right side
    497,432.63x = 216,649,202,890.05
  5. Step 5: Solve for x
    x = 216,649,202,890.05/497,432.63
  6. Step 6: Final answer
    x = 435,534.76

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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.