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Finding the Fourth Proportional to 384,773.12, 530,976.72 and 215,008.64

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Solution

The fourth proportional to 384,773.12, 530,976.72 and 215,008.64 is: 296,706.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,773.12 : 530,976.72 = 215,008.64 : x
  2. Step 2: Convert to fraction form
    384,773.12/530,976.72 = 215,008.64/x
  3. Step 3: Cross multiply
    384,773.12x = 530,976.72 × 215,008.64
  4. Step 4: Simplify right side
    384,773.12x = 114,164,582,438.86
  5. Step 5: Solve for x
    x = 114,164,582,438.86/384,773.12
  6. Step 6: Final answer
    x = 296,706.23

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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.