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Finding the Fourth Proportional to 302,821.40, 454,013.40 and 169,742.46

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Solution

The fourth proportional to 302,821.40, 454,013.40 and 169,742.46 is: 254,491.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,821.40 : 454,013.40 = 169,742.46 : x
  2. Step 2: Convert to fraction form
    302,821.40/454,013.40 = 169,742.46/x
  3. Step 3: Cross multiply
    302,821.40x = 454,013.40 × 169,742.46
  4. Step 4: Simplify right side
    302,821.40x = 77,065,351,388.96
  5. Step 5: Solve for x
    x = 77,065,351,388.96/302,821.40
  6. Step 6: Final answer
    x = 254,491.10

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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.