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Finding the Fourth Proportional to 384,152.80, 530,160.24 and 212,103.94

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Solution

The fourth proportional to 384,152.80, 530,160.24 and 212,103.94 is: 292,719.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,152.80 : 530,160.24 = 212,103.94 : x
  2. Step 2: Convert to fraction form
    384,152.80/530,160.24 = 212,103.94/x
  3. Step 3: Cross multiply
    384,152.80x = 530,160.24 × 212,103.94
  4. Step 4: Simplify right side
    384,152.80x = 112,449,075,735.35
  5. Step 5: Solve for x
    x = 112,449,075,735.35/384,152.80
  6. Step 6: Final answer
    x = 292,719.66

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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.