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Finding the Fourth Proportional to 302,805.76, 454,297.40 and 89,579.28

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Solution

The fourth proportional to 302,805.76, 454,297.40 and 89,579.28 is: 134,395.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,805.76 : 454,297.40 = 89,579.28 : x
  2. Step 2: Convert to fraction form
    302,805.76/454,297.40 = 89,579.28/x
  3. Step 3: Cross multiply
    302,805.76x = 454,297.40 × 89,579.28
  4. Step 4: Simplify right side
    302,805.76x = 40,695,633,997.87
  5. Step 5: Solve for x
    x = 40,695,633,997.87/302,805.76
  6. Step 6: Final answer
    x = 134,395.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.