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Finding the Fourth Proportional to 723,495.96, 998,427 and 401,235.84

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Solution

The fourth proportional to 723,495.96, 998,427 and 401,235.84 is: 553,706.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,495.96 : 998,427 = 401,235.84 : x
  2. Step 2: Convert to fraction form
    723,495.96/998,427 = 401,235.84/x
  3. Step 3: Cross multiply
    723,495.96x = 998,427 × 401,235.84
  4. Step 4: Simplify right side
    723,495.96x = 400,604,696,023.68
  5. Step 5: Solve for x
    x = 400,604,696,023.68/723,495.96
  6. Step 6: Final answer
    x = 553,706.89

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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.