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Finding the Fourth Proportional to 257,740.86, 355,684.29 and 143,019.93

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Solution

The fourth proportional to 257,740.86, 355,684.29 and 143,019.93 is: 197,368.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,740.86 : 355,684.29 = 143,019.93 : x
  2. Step 2: Convert to fraction form
    257,740.86/355,684.29 = 143,019.93/x
  3. Step 3: Cross multiply
    257,740.86x = 355,684.29 × 143,019.93
  4. Step 4: Simplify right side
    257,740.86x = 50,869,942,257.90
  5. Step 5: Solve for x
    x = 50,869,942,257.90/257,740.86
  6. Step 6: Final answer
    x = 197,368.56

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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.