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Finding the Fourth Proportional to 547,451.51, 820,032.14 and 440,255.03

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Solution

The fourth proportional to 547,451.51, 820,032.14 and 440,255.03 is: 659,461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,451.51 : 820,032.14 = 440,255.03 : x
  2. Step 2: Convert to fraction form
    547,451.51/820,032.14 = 440,255.03/x
  3. Step 3: Cross multiply
    547,451.51x = 820,032.14 × 440,255.03
  4. Step 4: Simplify right side
    547,451.51x = 361,023,271,397.14
  5. Step 5: Solve for x
    x = 361,023,271,397.14/547,451.51
  6. Step 6: Final answer
    x = 659,461.65

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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.