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Finding the Fourth Proportional to 529,847, 731,192.32 and 288,132.20

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Solution

The fourth proportional to 529,847, 731,192.32 and 288,132.20 is: 397,624.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,847 : 731,192.32 = 288,132.20 : x
  2. Step 2: Convert to fraction form
    529,847/731,192.32 = 288,132.20/x
  3. Step 3: Cross multiply
    529,847x = 731,192.32 × 288,132.20
  4. Step 4: Simplify right side
    529,847x = 210,680,051,784.70
  5. Step 5: Solve for x
    x = 210,680,051,784.70/529,847
  6. Step 6: Final answer
    x = 397,624.32

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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.