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Finding the Fourth Proportional to 257,656.68, 355,568.94 and 144,477

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Solution

The fourth proportional to 257,656.68, 355,568.94 and 144,477 is: 199,379.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,656.68 : 355,568.94 = 144,477 : x
  2. Step 2: Convert to fraction form
    257,656.68/355,568.94 = 144,477/x
  3. Step 3: Cross multiply
    257,656.68x = 355,568.94 × 144,477
  4. Step 4: Simplify right side
    257,656.68x = 51,371,533,744.38
  5. Step 5: Solve for x
    x = 51,371,533,744.38/257,656.68
  6. Step 6: Final answer
    x = 199,379.79

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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.