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Finding the Fourth Proportional to 284,098.89, 426,037.59 and 106,509

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Solution

The fourth proportional to 284,098.89, 426,037.59 and 106,509 is: 159,721.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,098.89 : 426,037.59 = 106,509 : x
  2. Step 2: Convert to fraction form
    284,098.89/426,037.59 = 106,509/x
  3. Step 3: Cross multiply
    284,098.89x = 426,037.59 × 106,509
  4. Step 4: Simplify right side
    284,098.89x = 45,376,837,673.31
  5. Step 5: Solve for x
    x = 45,376,837,673.31/284,098.89
  6. Step 6: Final answer
    x = 159,721.98

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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.