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Finding the Fourth Proportional to 384,009.12, 529,928.87 and 211,928.67

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Solution

The fourth proportional to 384,009.12, 529,928.87 and 211,928.67 is: 292,459.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,009.12 : 529,928.87 = 211,928.67 : x
  2. Step 2: Convert to fraction form
    384,009.12/529,928.87 = 211,928.67/x
  3. Step 3: Cross multiply
    384,009.12x = 529,928.87 × 211,928.67
  4. Step 4: Simplify right side
    384,009.12x = 112,307,119,554.06
  5. Step 5: Solve for x
    x = 112,307,119,554.06/384,009.12
  6. Step 6: Final answer
    x = 292,459.51

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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.