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Finding the Fourth Proportional to 497,427.59, 685,962.41 and 315,824.24

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Solution

The fourth proportional to 497,427.59, 685,962.41 and 315,824.24 is: 435,527.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,427.59 : 685,962.41 = 315,824.24 : x
  2. Step 2: Convert to fraction form
    497,427.59/685,962.41 = 315,824.24/x
  3. Step 3: Cross multiply
    497,427.59x = 685,962.41 × 315,824.24
  4. Step 4: Simplify right side
    497,427.59x = 216,643,556,806.82
  5. Step 5: Solve for x
    x = 216,643,556,806.82/497,427.59
  6. Step 6: Final answer
    x = 435,527.83

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