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Finding the Fourth Proportional to 517,390.27, 713,387.69 and 354,125.42

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Solution

The fourth proportional to 517,390.27, 713,387.69 and 354,125.42 is: 488,274.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,390.27 : 713,387.69 = 354,125.42 : x
  2. Step 2: Convert to fraction form
    517,390.27/713,387.69 = 354,125.42/x
  3. Step 3: Cross multiply
    517,390.27x = 713,387.69 × 354,125.42
  4. Step 4: Simplify right side
    517,390.27x = 252,628,714,009.69
  5. Step 5: Solve for x
    x = 252,628,714,009.69/517,390.27
  6. Step 6: Final answer
    x = 488,274.96

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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.