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Finding the Fourth Proportional to 847,656.88, 1,271,006.04 and 278,884.06

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Solution

The fourth proportional to 847,656.88, 1,271,006.04 and 278,884.06 is: 418,168.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,656.88 : 1,271,006.04 = 278,884.06 : x
  2. Step 2: Convert to fraction form
    847,656.88/1,271,006.04 = 278,884.06/x
  3. Step 3: Cross multiply
    847,656.88x = 1,271,006.04 × 278,884.06
  4. Step 4: Simplify right side
    847,656.88x = 354,463,324,719.72
  5. Step 5: Solve for x
    x = 354,463,324,719.72/847,656.88
  6. Step 6: Final answer
    x = 418,168.40

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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.