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Finding the Fourth Proportional to 723,410.19, 998,304.35 and 401,112

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Solution

The fourth proportional to 723,410.19, 998,304.35 and 401,112 is: 553,533.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,410.19 : 998,304.35 = 401,112 : x
  2. Step 2: Convert to fraction form
    723,410.19/998,304.35 = 401,112/x
  3. Step 3: Cross multiply
    723,410.19x = 998,304.35 × 401,112
  4. Step 4: Simplify right side
    723,410.19x = 400,431,852,431.64
  5. Step 5: Solve for x
    x = 400,431,852,431.64/723,410.19
  6. Step 6: Final answer
    x = 553,533.61

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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.