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Finding the Fourth Proportional to 389,045.43, 537,016.64 and 227,952.63

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Solution

The fourth proportional to 389,045.43, 537,016.64 and 227,952.63 is: 314,653.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,045.43 : 537,016.64 = 227,952.63 : x
  2. Step 2: Convert to fraction form
    389,045.43/537,016.64 = 227,952.63/x
  3. Step 3: Cross multiply
    389,045.43x = 537,016.64 × 227,952.63
  4. Step 4: Simplify right side
    389,045.43x = 122,414,354,302.00
  5. Step 5: Solve for x
    x = 122,414,354,302.00/389,045.43
  6. Step 6: Final answer
    x = 314,653.11

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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.