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Finding the Fourth Proportional to 723,854.88, 998,908.20 and 401,559.12

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Solution

The fourth proportional to 723,854.88, 998,908.20 and 401,559.12 is: 554,145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,854.88 : 998,908.20 = 401,559.12 : x
  2. Step 2: Convert to fraction form
    723,854.88/998,908.20 = 401,559.12/x
  3. Step 3: Cross multiply
    723,854.88x = 998,908.20 × 401,559.12
  4. Step 4: Simplify right side
    723,854.88x = 401,120,697,752.78
  5. Step 5: Solve for x
    x = 401,120,697,752.78/723,854.88
  6. Step 6: Final answer
    x = 554,145.19

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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.