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Finding the Fourth Proportional to 302,934.40, 454,401.60 and 153,635.20

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Solution

The fourth proportional to 302,934.40, 454,401.60 and 153,635.20 is: 230,452.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,934.40 : 454,401.60 = 153,635.20 : x
  2. Step 2: Convert to fraction form
    302,934.40/454,401.60 = 153,635.20/x
  3. Step 3: Cross multiply
    302,934.40x = 454,401.60 × 153,635.20
  4. Step 4: Simplify right side
    302,934.40x = 69,812,080,696.32
  5. Step 5: Solve for x
    x = 69,812,080,696.32/302,934.40
  6. Step 6: Final answer
    x = 230,452.80

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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.