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Finding the Fourth Proportional to 493,969, 681,689.10 and 302,871.64

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Solution

The fourth proportional to 493,969, 681,689.10 and 302,871.64 is: 417,970.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,969 : 681,689.10 = 302,871.64 : x
  2. Step 2: Convert to fraction form
    493,969/681,689.10 = 302,871.64/x
  3. Step 3: Cross multiply
    493,969x = 681,689.10 × 302,871.64
  4. Step 4: Simplify right side
    493,969x = 206,464,295,687.12
  5. Step 5: Solve for x
    x = 206,464,295,687.12/493,969
  6. Step 6: Final answer
    x = 417,970.15

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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.