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Finding the Fourth Proportional to 389,187.64, 537,058.08 and 219,410.82

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Solution

The fourth proportional to 389,187.64, 537,058.08 and 219,410.82 is: 302,775.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,187.64 : 537,058.08 = 219,410.82 : x
  2. Step 2: Convert to fraction form
    389,187.64/537,058.08 = 219,410.82/x
  3. Step 3: Cross multiply
    389,187.64x = 537,058.08 × 219,410.82
  4. Step 4: Simplify right side
    389,187.64x = 117,836,353,720.43
  5. Step 5: Solve for x
    x = 117,836,353,720.43/389,187.64
  6. Step 6: Final answer
    x = 302,775.17

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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.