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Finding the Fourth Proportional to 384,122.60, 530,036.22 and 214,323.80

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Solution

The fourth proportional to 384,122.60, 530,036.22 and 214,323.80 is: 295,737.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,122.60 : 530,036.22 = 214,323.80 : x
  2. Step 2: Convert to fraction form
    384,122.60/530,036.22 = 214,323.80/x
  3. Step 3: Cross multiply
    384,122.60x = 530,036.22 × 214,323.80
  4. Step 4: Simplify right side
    384,122.60x = 113,599,376,808.04
  5. Step 5: Solve for x
    x = 113,599,376,808.04/384,122.60
  6. Step 6: Final answer
    x = 295,737.29

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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.