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Finding the Fourth Proportional to 406,282.30, 608,063.69 and 400,905.65

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Solution

The fourth proportional to 406,282.30, 608,063.69 and 400,905.65 is: 600,016.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,282.30 : 608,063.69 = 400,905.65 : x
  2. Step 2: Convert to fraction form
    406,282.30/608,063.69 = 400,905.65/x
  3. Step 3: Cross multiply
    406,282.30x = 608,063.69 × 400,905.65
  4. Step 4: Simplify right side
    406,282.30x = 243,776,171,403.27
  5. Step 5: Solve for x
    x = 243,776,171,403.27/406,282.30
  6. Step 6: Final answer
    x = 600,016.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.