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Finding the Fourth Proportional to 288,130.42, 431,845.71 and 203,915.20

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Solution

The fourth proportional to 288,130.42, 431,845.71 and 203,915.20 is: 305,625.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,130.42 : 431,845.71 = 203,915.20 : x
  2. Step 2: Convert to fraction form
    288,130.42/431,845.71 = 203,915.20/x
  3. Step 3: Cross multiply
    288,130.42x = 431,845.71 × 203,915.20
  4. Step 4: Simplify right side
    288,130.42x = 88,059,904,323.79
  5. Step 5: Solve for x
    x = 88,059,904,323.79/288,130.42
  6. Step 6: Final answer
    x = 305,625.16

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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.