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Finding the Fourth Proportional to 570,279.30, 786,932.12 and 340,791.05

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Solution

The fourth proportional to 570,279.30, 786,932.12 and 340,791.05 is: 470,259.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,279.30 : 786,932.12 = 340,791.05 : x
  2. Step 2: Convert to fraction form
    570,279.30/786,932.12 = 340,791.05/x
  3. Step 3: Cross multiply
    570,279.30x = 786,932.12 × 340,791.05
  4. Step 4: Simplify right side
    570,279.30x = 268,179,417,814.91
  5. Step 5: Solve for x
    x = 268,179,417,814.91/570,279.30
  6. Step 6: Final answer
    x = 470,259.78

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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.