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Finding the Fourth Proportional to 506,609.77, 699,007.03 and 302,620.77

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Solution

The fourth proportional to 506,609.77, 699,007.03 and 302,620.77 is: 417,548.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,609.77 : 699,007.03 = 302,620.77 : x
  2. Step 2: Convert to fraction form
    506,609.77/699,007.03 = 302,620.77/x
  3. Step 3: Cross multiply
    506,609.77x = 699,007.03 × 302,620.77
  4. Step 4: Simplify right side
    506,609.77x = 211,534,045,654.01
  5. Step 5: Solve for x
    x = 211,534,045,654.01/506,609.77
  6. Step 6: Final answer
    x = 417,548.29

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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.