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Finding the Fourth Proportional to 381,570.10, 572,614.35 and 213,090.10

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Solution

The fourth proportional to 381,570.10, 572,614.35 and 213,090.10 is: 319,779.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,570.10 : 572,614.35 = 213,090.10 : x
  2. Step 2: Convert to fraction form
    381,570.10/572,614.35 = 213,090.10/x
  3. Step 3: Cross multiply
    381,570.10x = 572,614.35 × 213,090.10
  4. Step 4: Simplify right side
    381,570.10x = 122,018,449,102.94
  5. Step 5: Solve for x
    x = 122,018,449,102.94/381,570.10
  6. Step 6: Final answer
    x = 319,779.90

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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.