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Finding the Fourth Proportional to 491,530.60, 678,150 and 400,730.46

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Solution

The fourth proportional to 491,530.60, 678,150 and 400,730.46 is: 552,875.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,530.60 : 678,150 = 400,730.46 : x
  2. Step 2: Convert to fraction form
    491,530.60/678,150 = 400,730.46/x
  3. Step 3: Cross multiply
    491,530.60x = 678,150 × 400,730.46
  4. Step 4: Simplify right side
    491,530.60x = 271,755,361,449
  5. Step 5: Solve for x
    x = 271,755,361,449/491,530.60
  6. Step 6: Final answer
    x = 552,875.78

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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.