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Finding the Fourth Proportional to 491,552.60, 678,178.86 and 400,752.14

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Solution

The fourth proportional to 491,552.60, 678,178.86 and 400,752.14 is: 552,904.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,552.60 : 678,178.86 = 400,752.14 : x
  2. Step 2: Convert to fraction form
    491,552.60/678,178.86 = 400,752.14/x
  3. Step 3: Cross multiply
    491,552.60x = 678,178.86 × 400,752.14
  4. Step 4: Simplify right side
    491,552.60x = 271,781,629,447.76
  5. Step 5: Solve for x
    x = 271,781,629,447.76/491,552.60
  6. Step 6: Final answer
    x = 552,904.47

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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.