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Finding the Fourth Proportional to 510,851.12, 705,029.92 and 281,431.92

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Solution

The fourth proportional to 510,851.12, 705,029.92 and 281,431.92 is: 388,406.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,851.12 : 705,029.92 = 281,431.92 : x
  2. Step 2: Convert to fraction form
    510,851.12/705,029.92 = 281,431.92/x
  3. Step 3: Cross multiply
    510,851.12x = 705,029.92 × 281,431.92
  4. Step 4: Simplify right side
    510,851.12x = 198,417,924,043.05
  5. Step 5: Solve for x
    x = 198,417,924,043.05/510,851.12
  6. Step 6: Final answer
    x = 388,406.56

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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.