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Finding the Fourth Proportional to 257,960.80, 386,811.60 and 117,560.80

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Solution

The fourth proportional to 257,960.80, 386,811.60 and 117,560.80 is: 176,282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,960.80 : 386,811.60 = 117,560.80 : x
  2. Step 2: Convert to fraction form
    257,960.80/386,811.60 = 117,560.80/x
  3. Step 3: Cross multiply
    257,960.80x = 386,811.60 × 117,560.80
  4. Step 4: Simplify right side
    257,960.80x = 45,473,881,145.28
  5. Step 5: Solve for x
    x = 45,473,881,145.28/257,960.80
  6. Step 6: Final answer
    x = 176,282.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.