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Finding the Fourth Proportional to 516,969, 713,436.96 and 287,542.91

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Solution

The fourth proportional to 516,969, 713,436.96 and 287,542.91 is: 396,820.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,969 : 713,436.96 = 287,542.91 : x
  2. Step 2: Convert to fraction form
    516,969/713,436.96 = 287,542.91/x
  3. Step 3: Cross multiply
    516,969x = 713,436.96 × 287,542.91
  4. Step 4: Simplify right side
    516,969x = 205,143,736,012.77
  5. Step 5: Solve for x
    x = 205,143,736,012.77/516,969
  6. Step 6: Final answer
    x = 396,820.19

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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.