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Finding the Fourth Proportional to 384,101.73, 530,007.71 and 214,303.05

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Solution

The fourth proportional to 384,101.73, 530,007.71 and 214,303.05 is: 295,708.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,101.73 : 530,007.71 = 214,303.05 : x
  2. Step 2: Convert to fraction form
    384,101.73/530,007.71 = 214,303.05/x
  3. Step 3: Cross multiply
    384,101.73x = 530,007.71 × 214,303.05
  4. Step 4: Simplify right side
    384,101.73x = 113,582,267,705.00
  5. Step 5: Solve for x
    x = 113,582,267,705.00/384,101.73
  6. Step 6: Final answer
    x = 295,708.82

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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.