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Finding the Fourth Proportional to 516,714.81, 712,980.27 and 287,265.71

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Solution

The fourth proportional to 516,714.81, 712,980.27 and 287,265.71 is: 396,378.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,714.81 : 712,980.27 = 287,265.71 : x
  2. Step 2: Convert to fraction form
    516,714.81/712,980.27 = 287,265.71/x
  3. Step 3: Cross multiply
    516,714.81x = 712,980.27 × 287,265.71
  4. Step 4: Simplify right side
    516,714.81x = 204,814,779,912.64
  5. Step 5: Solve for x
    x = 204,814,779,912.64/516,714.81
  6. Step 6: Final answer
    x = 396,378.77

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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.