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Finding the Fourth Proportional to 284,802.20, 426,620.10 and 144,639.80

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Solution

The fourth proportional to 284,802.20, 426,620.10 and 144,639.80 is: 216,663.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,802.20 : 426,620.10 = 144,639.80 : x
  2. Step 2: Convert to fraction form
    284,802.20/426,620.10 = 144,639.80/x
  3. Step 3: Cross multiply
    284,802.20x = 426,620.10 × 144,639.80
  4. Step 4: Simplify right side
    284,802.20x = 61,706,245,939.98
  5. Step 5: Solve for x
    x = 61,706,245,939.98/284,802.20
  6. Step 6: Final answer
    x = 216,663.52

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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.