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Finding the Fourth Proportional to 512,327.88, 707,009.76 and 297,520.74

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Solution

The fourth proportional to 512,327.88, 707,009.76 and 297,520.74 is: 410,577.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,327.88 : 707,009.76 = 297,520.74 : x
  2. Step 2: Convert to fraction form
    512,327.88/707,009.76 = 297,520.74/x
  3. Step 3: Cross multiply
    512,327.88x = 707,009.76 × 297,520.74
  4. Step 4: Simplify right side
    512,327.88x = 210,350,066,982.42
  5. Step 5: Solve for x
    x = 210,350,066,982.42/512,327.88
  6. Step 6: Final answer
    x = 410,577.04

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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.