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Finding the Fourth Proportional to 256,021.80, 384,032.70 and 214,031.40

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Solution

The fourth proportional to 256,021.80, 384,032.70 and 214,031.40 is: 321,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,021.80 : 384,032.70 = 214,031.40 : x
  2. Step 2: Convert to fraction form
    256,021.80/384,032.70 = 214,031.40/x
  3. Step 3: Cross multiply
    256,021.80x = 384,032.70 × 214,031.40
  4. Step 4: Simplify right side
    256,021.80x = 82,195,056,426.78
  5. Step 5: Solve for x
    x = 82,195,056,426.78/256,021.80
  6. Step 6: Final answer
    x = 321,047.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.