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Finding the Fourth Proportional to 516,710.20, 712,973.88 and 287,261.08

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Solution

The fourth proportional to 516,710.20, 712,973.88 and 287,261.08 is: 396,372.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,710.20 : 712,973.88 = 287,261.08 : x
  2. Step 2: Convert to fraction form
    516,710.20/712,973.88 = 287,261.08/x
  3. Step 3: Cross multiply
    516,710.20x = 712,973.88 × 287,261.08
  4. Step 4: Simplify right side
    516,710.20x = 204,809,646,780.59
  5. Step 5: Solve for x
    x = 204,809,646,780.59/516,710.20
  6. Step 6: Final answer
    x = 396,372.37

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1.5x scale

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.