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Finding the Fourth Proportional to 513,028.64, 707,978.40 and 286,674.14

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Solution

The fourth proportional to 513,028.64, 707,978.40 and 286,674.14 is: 395,609.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,028.64 : 707,978.40 = 286,674.14 : x
  2. Step 2: Convert to fraction form
    513,028.64/707,978.40 = 286,674.14/x
  3. Step 3: Cross multiply
    513,028.64x = 707,978.40 × 286,674.14
  4. Step 4: Simplify right side
    513,028.64x = 202,959,098,958.58
  5. Step 5: Solve for x
    x = 202,959,098,958.58/513,028.64
  6. Step 6: Final answer
    x = 395,609.69

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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.