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Finding the Fourth Proportional to 516,722.64, 713,013.48 and 298,968.72

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Solution

The fourth proportional to 516,722.64, 713,013.48 and 298,968.72 is: 412,539.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,722.64 : 713,013.48 = 298,968.72 : x
  2. Step 2: Convert to fraction form
    516,722.64/713,013.48 = 298,968.72/x
  3. Step 3: Cross multiply
    516,722.64x = 713,013.48 × 298,968.72
  4. Step 4: Simplify right side
    516,722.64x = 213,168,727,458.35
  5. Step 5: Solve for x
    x = 213,168,727,458.35/516,722.64
  6. Step 6: Final answer
    x = 412,539.94

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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.