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Finding the Fourth Proportional to 455,825.40, 683,738.10 and 329,854.20

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Solution

The fourth proportional to 455,825.40, 683,738.10 and 329,854.20 is: 494,781.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,825.40 : 683,738.10 = 329,854.20 : x
  2. Step 2: Convert to fraction form
    455,825.40/683,738.10 = 329,854.20/x
  3. Step 3: Cross multiply
    455,825.40x = 683,738.10 × 329,854.20
  4. Step 4: Simplify right side
    455,825.40x = 225,533,883,985.02
  5. Step 5: Solve for x
    x = 225,533,883,985.02/455,825.40
  6. Step 6: Final answer
    x = 494,781.30

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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.