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Finding the Fourth Proportional to 384,342.18, 530,351.74 and 223,165.68

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Solution

The fourth proportional to 384,342.18, 530,351.74 and 223,165.68 is: 307,945.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,342.18 : 530,351.74 = 223,165.68 : x
  2. Step 2: Convert to fraction form
    384,342.18/530,351.74 = 223,165.68/x
  3. Step 3: Cross multiply
    384,342.18x = 530,351.74 × 223,165.68
  4. Step 4: Simplify right side
    384,342.18x = 118,356,306,696.28
  5. Step 5: Solve for x
    x = 118,356,306,696.28/384,342.18
  6. Step 6: Final answer
    x = 307,945.14

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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.