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Finding the Fourth Proportional to 257,069.86, 355,125.93 and 205,319.01

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Solution

The fourth proportional to 257,069.86, 355,125.93 and 205,319.01 is: 283,635.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,069.86 : 355,125.93 = 205,319.01 : x
  2. Step 2: Convert to fraction form
    257,069.86/355,125.93 = 205,319.01/x
  3. Step 3: Cross multiply
    257,069.86x = 355,125.93 × 205,319.01
  4. Step 4: Simplify right side
    257,069.86x = 72,914,105,774.04
  5. Step 5: Solve for x
    x = 72,914,105,774.04/257,069.86
  6. Step 6: Final answer
    x = 283,635.37

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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.