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Finding the Fourth Proportional to 691,492.64, 954,322.83 and 419,629.73

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Solution

The fourth proportional to 691,492.64, 954,322.83 and 419,629.73 is: 579,127.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,492.64 : 954,322.83 = 419,629.73 : x
  2. Step 2: Convert to fraction form
    691,492.64/954,322.83 = 419,629.73/x
  3. Step 3: Cross multiply
    691,492.64x = 954,322.83 × 419,629.73
  4. Step 4: Simplify right side
    691,492.64x = 400,462,226,714.12
  5. Step 5: Solve for x
    x = 400,462,226,714.12/691,492.64
  6. Step 6: Final answer
    x = 579,127.25

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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.