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Finding the Fourth Proportional to 284,477.31, 426,715.83 and 84,792.60

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Solution

The fourth proportional to 284,477.31, 426,715.83 and 84,792.60 is: 127,188.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,477.31 : 426,715.83 = 84,792.60 : x
  2. Step 2: Convert to fraction form
    284,477.31/426,715.83 = 84,792.60/x
  3. Step 3: Cross multiply
    284,477.31x = 426,715.83 × 84,792.60
  4. Step 4: Simplify right side
    284,477.31x = 36,182,344,686.86
  5. Step 5: Solve for x
    x = 36,182,344,686.86/284,477.31
  6. Step 6: Final answer
    x = 127,188.86

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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.