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Finding the Fourth Proportional to 302,812.35, 454,218.53 and 144,959.55

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Solution

The fourth proportional to 302,812.35, 454,218.53 and 144,959.55 is: 217,439.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,812.35 : 454,218.53 = 144,959.55 : x
  2. Step 2: Convert to fraction form
    302,812.35/454,218.53 = 144,959.55/x
  3. Step 3: Cross multiply
    302,812.35x = 454,218.53 × 144,959.55
  4. Step 4: Simplify right side
    302,812.35x = 65,843,312,985.66
  5. Step 5: Solve for x
    x = 65,843,312,985.66/302,812.35
  6. Step 6: Final answer
    x = 217,439.33

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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.