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Finding the Fourth Proportional to 443,816.80, 665,822.40 and 144,246.40

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Solution

The fourth proportional to 443,816.80, 665,822.40 and 144,246.40 is: 216,401.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,816.80 : 665,822.40 = 144,246.40 : x
  2. Step 2: Convert to fraction form
    443,816.80/665,822.40 = 144,246.40/x
  3. Step 3: Cross multiply
    443,816.80x = 665,822.40 × 144,246.40
  4. Step 4: Simplify right side
    443,816.80x = 96,042,484,239.36
  5. Step 5: Solve for x
    x = 96,042,484,239.36/443,816.80
  6. Step 6: Final answer
    x = 216,401.19

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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.