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Finding the Fourth Proportional to 380,101.95, 524,534.00 and 218,956.50

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Solution

The fourth proportional to 380,101.95, 524,534.00 and 218,956.50 is: 302,156.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,101.95 : 524,534.00 = 218,956.50 : x
  2. Step 2: Convert to fraction form
    380,101.95/524,534.00 = 218,956.50/x
  3. Step 3: Cross multiply
    380,101.95x = 524,534.00 × 218,956.50
  4. Step 4: Simplify right side
    380,101.95x = 114,850,127,676.22
  5. Step 5: Solve for x
    x = 114,850,127,676.22/380,101.95
  6. Step 6: Final answer
    x = 302,156.11

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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.