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Finding the Fourth Proportional to 557,002.10, 768,662.24 and 302,353.29

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Solution

The fourth proportional to 557,002.10, 768,662.24 and 302,353.29 is: 417,247.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,002.10 : 768,662.24 = 302,353.29 : x
  2. Step 2: Convert to fraction form
    557,002.10/768,662.24 = 302,353.29/x
  3. Step 3: Cross multiply
    557,002.10x = 768,662.24 × 302,353.29
  4. Step 4: Simplify right side
    557,002.10x = 232,407,555,651.00
  5. Step 5: Solve for x
    x = 232,407,555,651.00/557,002.10
  6. Step 6: Final answer
    x = 417,247.18

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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.