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Finding the Fourth Proportional to 499,815.84, 689,028.47 and 356,326.77

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Solution

The fourth proportional to 499,815.84, 689,028.47 and 356,326.77 is: 491,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,815.84 : 689,028.47 = 356,326.77 : x
  2. Step 2: Convert to fraction form
    499,815.84/689,028.47 = 356,326.77/x
  3. Step 3: Cross multiply
    499,815.84x = 689,028.47 × 356,326.77
  4. Step 4: Simplify right side
    499,815.84x = 245,519,287,371.51
  5. Step 5: Solve for x
    x = 245,519,287,371.51/499,815.84
  6. Step 6: Final answer
    x = 491,219.50

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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.