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Finding the Fourth Proportional to 555,098.10, 765,830.45 and 364,217.46

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Solution

The fourth proportional to 555,098.10, 765,830.45 and 364,217.46 is: 502,485.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,098.10 : 765,830.45 = 364,217.46 : x
  2. Step 2: Convert to fraction form
    555,098.10/765,830.45 = 364,217.46/x
  3. Step 3: Cross multiply
    555,098.10x = 765,830.45 × 364,217.46
  4. Step 4: Simplify right side
    555,098.10x = 278,928,821,289.66
  5. Step 5: Solve for x
    x = 278,928,821,289.66/555,098.10
  6. Step 6: Final answer
    x = 502,485.64

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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.