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Finding the Fourth Proportional to 516,791.47, 713,172.88 and 287,346.29

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Solution

The fourth proportional to 516,791.47, 713,172.88 and 287,346.29 is: 396,538.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,791.47 : 713,172.88 = 287,346.29 : x
  2. Step 2: Convert to fraction form
    516,791.47/713,172.88 = 287,346.29/x
  3. Step 3: Cross multiply
    516,791.47x = 713,172.88 × 287,346.29
  4. Step 4: Simplify right side
    516,791.47x = 204,927,577,181.77
  5. Step 5: Solve for x
    x = 204,927,577,181.77/516,791.47
  6. Step 6: Final answer
    x = 396,538.24

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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.