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Finding the Fourth Proportional to 402,410.38, 602,697.01 and 192,195.94

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Solution

The fourth proportional to 402,410.38, 602,697.01 and 192,195.94 is: 287,855.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,410.38 : 602,697.01 = 192,195.94 : x
  2. Step 2: Convert to fraction form
    402,410.38/602,697.01 = 192,195.94/x
  3. Step 3: Cross multiply
    402,410.38x = 602,697.01 × 192,195.94
  4. Step 4: Simplify right side
    402,410.38x = 115,835,918,372.14
  5. Step 5: Solve for x
    x = 115,835,918,372.14/402,410.38
  6. Step 6: Final answer
    x = 287,855.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.