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Finding the Fourth Proportional to 302,995.49, 454,492.49 and 89,780

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Solution

The fourth proportional to 302,995.49, 454,492.49 and 89,780 is: 134,669.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,995.49 : 454,492.49 = 89,780 : x
  2. Step 2: Convert to fraction form
    302,995.49/454,492.49 = 89,780/x
  3. Step 3: Cross multiply
    302,995.49x = 454,492.49 × 89,780
  4. Step 4: Simplify right side
    302,995.49x = 40,804,335,303.30
  5. Step 5: Solve for x
    x = 40,804,335,303.30/302,995.49
  6. Step 6: Final answer
    x = 134,669.78

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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.