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Finding the Fourth Proportional to 497,172.42, 686,074.32 and 282,284.28

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Solution

The fourth proportional to 497,172.42, 686,074.32 and 282,284.28 is: 389,538.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,172.42 : 686,074.32 = 282,284.28 : x
  2. Step 2: Convert to fraction form
    497,172.42/686,074.32 = 282,284.28/x
  3. Step 3: Cross multiply
    497,172.42x = 686,074.32 × 282,284.28
  4. Step 4: Simplify right side
    497,172.42x = 193,667,995,447.69
  5. Step 5: Solve for x
    x = 193,667,995,447.69/497,172.42
  6. Step 6: Final answer
    x = 389,538.90

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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.