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Finding the Fourth Proportional to 384,178, 530,235.04 and 229,139.24

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Solution

The fourth proportional to 384,178, 530,235.04 and 229,139.24 is: 316,253.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,178 : 530,235.04 = 229,139.24 : x
  2. Step 2: Convert to fraction form
    384,178/530,235.04 = 229,139.24/x
  3. Step 3: Cross multiply
    384,178x = 530,235.04 × 229,139.24
  4. Step 4: Simplify right side
    384,178x = 121,497,654,086.97
  5. Step 5: Solve for x
    x = 121,497,654,086.97/384,178
  6. Step 6: Final answer
    x = 316,253.54

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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.