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Finding the Fourth Proportional to 284,356.82, 426,797.67 and 144,213.86

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Solution

The fourth proportional to 284,356.82, 426,797.67 and 144,213.86 is: 216,453.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,356.82 : 426,797.67 = 144,213.86 : x
  2. Step 2: Convert to fraction form
    284,356.82/426,797.67 = 144,213.86/x
  3. Step 3: Cross multiply
    284,356.82x = 426,797.67 × 144,213.86
  4. Step 4: Simplify right side
    284,356.82x = 61,550,139,429.71
  5. Step 5: Solve for x
    x = 61,550,139,429.71/284,356.82
  6. Step 6: Final answer
    x = 216,453.89

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1.5x scale

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.