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Finding the Fourth Proportional to 652,034.12, 899,809.38 and 380,289.64

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Solution

The fourth proportional to 652,034.12, 899,809.38 and 380,289.64 is: 524,801.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,034.12 : 899,809.38 = 380,289.64 : x
  2. Step 2: Convert to fraction form
    652,034.12/899,809.38 = 380,289.64/x
  3. Step 3: Cross multiply
    652,034.12x = 899,809.38 × 380,289.64
  4. Step 4: Simplify right side
    652,034.12x = 342,188,185,188.82
  5. Step 5: Solve for x
    x = 342,188,185,188.82/652,034.12
  6. Step 6: Final answer
    x = 524,801.04

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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.