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Finding the Fourth Proportional to 381,514.60, 572,271.90 and 293,213.80

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Solution

The fourth proportional to 381,514.60, 572,271.90 and 293,213.80 is: 439,820.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,514.60 : 572,271.90 = 293,213.80 : x
  2. Step 2: Convert to fraction form
    381,514.60/572,271.90 = 293,213.80/x
  3. Step 3: Cross multiply
    381,514.60x = 572,271.90 × 293,213.80
  4. Step 4: Simplify right side
    381,514.60x = 167,798,018,432.22
  5. Step 5: Solve for x
    x = 167,798,018,432.22/381,514.60
  6. Step 6: Final answer
    x = 439,820.70

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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.