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Finding the Fourth Proportional to 384,765.12, 530,965.68 and 215,000.64

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Solution

The fourth proportional to 384,765.12, 530,965.68 and 215,000.64 is: 296,695.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,765.12 : 530,965.68 = 215,000.64 : x
  2. Step 2: Convert to fraction form
    384,765.12/530,965.68 = 215,000.64/x
  3. Step 3: Cross multiply
    384,765.12x = 530,965.68 × 215,000.64
  4. Step 4: Simplify right side
    384,765.12x = 114,157,961,018.04
  5. Step 5: Solve for x
    x = 114,157,961,018.04/384,765.12
  6. Step 6: Final answer
    x = 296,695.19

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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.