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Finding the Fourth Proportional to 516,745.51, 713,140.84 and 287,304.64

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Solution

The fourth proportional to 516,745.51, 713,140.84 and 287,304.64 is: 396,498.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,745.51 : 713,140.84 = 287,304.64 : x
  2. Step 2: Convert to fraction form
    516,745.51/713,140.84 = 287,304.64/x
  3. Step 3: Cross multiply
    516,745.51x = 713,140.84 × 287,304.64
  4. Step 4: Simplify right side
    516,745.51x = 204,888,670,881.78
  5. Step 5: Solve for x
    x = 204,888,670,881.78/516,745.51
  6. Step 6: Final answer
    x = 396,498.21

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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.