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Finding the Fourth Proportional to 257,699.42, 355,609.15 and 155,664.59

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Solution

The fourth proportional to 257,699.42, 355,609.15 and 155,664.59 is: 214,807.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,699.42 : 355,609.15 = 155,664.59 : x
  2. Step 2: Convert to fraction form
    257,699.42/355,609.15 = 155,664.59/x
  3. Step 3: Cross multiply
    257,699.42x = 355,609.15 × 155,664.59
  4. Step 4: Simplify right side
    257,699.42x = 55,355,753,715.94
  5. Step 5: Solve for x
    x = 55,355,753,715.94/257,699.42
  6. Step 6: Final answer
    x = 214,807.44

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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.