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Finding the Fourth Proportional to 576,268.12, 863,702.29 and 407,837.67

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Solution

The fourth proportional to 576,268.12, 863,702.29 and 407,837.67 is: 611,261.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,268.12 : 863,702.29 = 407,837.67 : x
  2. Step 2: Convert to fraction form
    576,268.12/863,702.29 = 407,837.67/x
  3. Step 3: Cross multiply
    576,268.12x = 863,702.29 × 407,837.67
  4. Step 4: Simplify right side
    576,268.12x = 352,250,329,527.26
  5. Step 5: Solve for x
    x = 352,250,329,527.26/576,268.12
  6. Step 6: Final answer
    x = 611,261.18

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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.