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Finding the Fourth Proportional to 723,412.64, 998,292.48 and 401,119.76

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Solution

The fourth proportional to 723,412.64, 998,292.48 and 401,119.76 is: 553,535.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,412.64 : 998,292.48 = 401,119.76 : x
  2. Step 2: Convert to fraction form
    723,412.64/998,292.48 = 401,119.76/x
  3. Step 3: Cross multiply
    723,412.64x = 998,292.48 × 401,119.76
  4. Step 4: Simplify right side
    723,412.64x = 400,434,839,987.41
  5. Step 5: Solve for x
    x = 400,434,839,987.41/723,412.64
  6. Step 6: Final answer
    x = 553,535.86

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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.