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Finding the Fourth Proportional to 384,783.92, 531,013.56 and 215,025.20

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Solution

The fourth proportional to 384,783.92, 531,013.56 and 215,025.20 is: 296,741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,783.92 : 531,013.56 = 215,025.20 : x
  2. Step 2: Convert to fraction form
    384,783.92/531,013.56 = 215,025.20/x
  3. Step 3: Cross multiply
    384,783.92x = 531,013.56 × 215,025.20
  4. Step 4: Simplify right side
    384,783.92x = 114,181,296,941.71
  5. Step 5: Solve for x
    x = 114,181,296,941.71/384,783.92
  6. Step 6: Final answer
    x = 296,741.34

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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.