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Finding the Fourth Proportional to 384,347.70, 530,388.81 and 214,578.18

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Solution

The fourth proportional to 384,347.70, 530,388.81 and 214,578.18 is: 296,111.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,347.70 : 530,388.81 = 214,578.18 : x
  2. Step 2: Convert to fraction form
    384,347.70/530,388.81 = 214,578.18/x
  3. Step 3: Cross multiply
    384,347.70x = 530,388.81 × 214,578.18
  4. Step 4: Simplify right side
    384,347.70x = 113,809,865,542.17
  5. Step 5: Solve for x
    x = 113,809,865,542.17/384,347.70
  6. Step 6: Final answer
    x = 296,111.74

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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.