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Finding the Fourth Proportional to 384,807.92, 531,038.23 and 215,052.98

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Solution

The fourth proportional to 384,807.92, 531,038.23 and 215,052.98 is: 296,774.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,807.92 : 531,038.23 = 215,052.98 : x
  2. Step 2: Convert to fraction form
    384,807.92/531,038.23 = 215,052.98/x
  3. Step 3: Cross multiply
    384,807.92x = 531,038.23 × 215,052.98
  4. Step 4: Simplify right side
    384,807.92x = 114,201,350,662.60
  5. Step 5: Solve for x
    x = 114,201,350,662.60/384,807.92
  6. Step 6: Final answer
    x = 296,774.95

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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.