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Finding the Fourth Proportional to 257,421.96, 355,184.28 and 155,463.96

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Solution

The fourth proportional to 257,421.96, 355,184.28 and 155,463.96 is: 214,505.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,421.96 : 355,184.28 = 155,463.96 : x
  2. Step 2: Convert to fraction form
    257,421.96/355,184.28 = 155,463.96/x
  3. Step 3: Cross multiply
    257,421.96x = 355,184.28 × 155,463.96
  4. Step 4: Simplify right side
    257,421.96x = 55,218,354,698.55
  5. Step 5: Solve for x
    x = 55,218,354,698.55/257,421.96
  6. Step 6: Final answer
    x = 214,505.22

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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.