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Finding the Fourth Proportional to 516,999, 713,458.62 and 290,646.12

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Solution

The fourth proportional to 516,999, 713,458.62 and 290,646.12 is: 401,091.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,999 : 713,458.62 = 290,646.12 : x
  2. Step 2: Convert to fraction form
    516,999/713,458.62 = 290,646.12/x
  3. Step 3: Cross multiply
    516,999x = 713,458.62 × 290,646.12
  4. Step 4: Simplify right side
    516,999x = 207,363,979,683.55
  5. Step 5: Solve for x
    x = 207,363,979,683.55/516,999
  6. Step 6: Final answer
    x = 401,091.65

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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.