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Finding the Fourth Proportional to 497,495.07, 686,330.42 and 325,113.86

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Solution

The fourth proportional to 497,495.07, 686,330.42 and 325,113.86 is: 448,518.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,495.07 : 686,330.42 = 325,113.86 : x
  2. Step 2: Convert to fraction form
    497,495.07/686,330.42 = 325,113.86/x
  3. Step 3: Cross multiply
    497,495.07x = 686,330.42 × 325,113.86
  4. Step 4: Simplify right side
    497,495.07x = 223,135,532,171.88
  5. Step 5: Solve for x
    x = 223,135,532,171.88/497,495.07
  6. Step 6: Final answer
    x = 448,518.08

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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.