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Finding the Fourth Proportional to 500,980.64, 691,279.46 and 304,646.96

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Solution

The fourth proportional to 500,980.64, 691,279.46 and 304,646.96 is: 420,367.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,980.64 : 691,279.46 = 304,646.96 : x
  2. Step 2: Convert to fraction form
    500,980.64/691,279.46 = 304,646.96/x
  3. Step 3: Cross multiply
    500,980.64x = 691,279.46 × 304,646.96
  4. Step 4: Simplify right side
    500,980.64x = 210,596,184,476.21
  5. Step 5: Solve for x
    x = 210,596,184,476.21/500,980.64
  6. Step 6: Final answer
    x = 420,367.91

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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.