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Finding the Fourth Proportional to 387,013.56, 534,063.12 and 214,940.40

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Solution

The fourth proportional to 387,013.56, 534,063.12 and 214,940.40 is: 296,609.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,013.56 : 534,063.12 = 214,940.40 : x
  2. Step 2: Convert to fraction form
    387,013.56/534,063.12 = 214,940.40/x
  3. Step 3: Cross multiply
    387,013.56x = 534,063.12 × 214,940.40
  4. Step 4: Simplify right side
    387,013.56x = 114,791,740,638.05
  5. Step 5: Solve for x
    x = 114,791,740,638.05/387,013.56
  6. Step 6: Final answer
    x = 296,609.09

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1.5x scale

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.