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Finding the Fourth Proportional to 431,170.47, 646,265.25 and 262,318.59

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Solution

The fourth proportional to 431,170.47, 646,265.25 and 262,318.59 is: 393,179.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,170.47 : 646,265.25 = 262,318.59 : x
  2. Step 2: Convert to fraction form
    431,170.47/646,265.25 = 262,318.59/x
  3. Step 3: Cross multiply
    431,170.47x = 646,265.25 × 262,318.59
  4. Step 4: Simplify right side
    431,170.47x = 169,527,389,146.00
  5. Step 5: Solve for x
    x = 169,527,389,146.00/431,170.47
  6. Step 6: Final answer
    x = 393,179.50

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1.5x scale

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.