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Finding the Fourth Proportional to 284,530.60, 426,234.30 and 144,389.80

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Solution

The fourth proportional to 284,530.60, 426,234.30 and 144,389.80 is: 216,299.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,530.60 : 426,234.30 = 144,389.80 : x
  2. Step 2: Convert to fraction form
    284,530.60/426,234.30 = 144,389.80/x
  3. Step 3: Cross multiply
    284,530.60x = 426,234.30 × 144,389.80
  4. Step 4: Simplify right side
    284,530.60x = 61,543,885,330.14
  5. Step 5: Solve for x
    x = 61,543,885,330.14/284,530.60
  6. Step 6: Final answer
    x = 216,299.71

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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.