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Finding the Fourth Proportional to 510,806.12, 704,886.41 and 281,358.47

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Solution

The fourth proportional to 510,806.12, 704,886.41 and 281,358.47 is: 388,260.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,806.12 : 704,886.41 = 281,358.47 : x
  2. Step 2: Convert to fraction form
    510,806.12/704,886.41 = 281,358.47/x
  3. Step 3: Cross multiply
    510,806.12x = 704,886.41 × 281,358.47
  4. Step 4: Simplify right side
    510,806.12x = 198,325,758,759.38
  5. Step 5: Solve for x
    x = 198,325,758,759.38/510,806.12
  6. Step 6: Final answer
    x = 388,260.34

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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.