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Finding the Fourth Proportional to 384,429.47, 530,422.88 and 223,187.42

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Solution

The fourth proportional to 384,429.47, 530,422.88 and 223,187.42 is: 307,946.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,429.47 : 530,422.88 = 223,187.42 : x
  2. Step 2: Convert to fraction form
    384,429.47/530,422.88 = 223,187.42/x
  3. Step 3: Cross multiply
    384,429.47x = 530,422.88 × 223,187.42
  4. Step 4: Simplify right side
    384,429.47x = 118,383,710,328.12
  5. Step 5: Solve for x
    x = 118,383,710,328.12/384,429.47
  6. Step 6: Final answer
    x = 307,946.51

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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.