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Finding the Fourth Proportional to 257,539.12, 355,402.86 and 144,361.86

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Solution

The fourth proportional to 257,539.12, 355,402.86 and 144,361.86 is: 199,218.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,539.12 : 355,402.86 = 144,361.86 : x
  2. Step 2: Convert to fraction form
    257,539.12/355,402.86 = 144,361.86/x
  3. Step 3: Cross multiply
    257,539.12x = 355,402.86 × 144,361.86
  4. Step 4: Simplify right side
    257,539.12x = 51,306,617,918.92
  5. Step 5: Solve for x
    x = 51,306,617,918.92/257,539.12
  6. Step 6: Final answer
    x = 199,218.74

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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.