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Finding the Fourth Proportional to 284,502.94, 426,776.19 and 84,808.06

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Solution

The fourth proportional to 284,502.94, 426,776.19 and 84,808.06 is: 127,218.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,502.94 : 426,776.19 = 84,808.06 : x
  2. Step 2: Convert to fraction form
    284,502.94/426,776.19 = 84,808.06/x
  3. Step 3: Cross multiply
    284,502.94x = 426,776.19 × 84,808.06
  4. Step 4: Simplify right side
    284,502.94x = 36,194,060,728.09
  5. Step 5: Solve for x
    x = 36,194,060,728.09/284,502.94
  6. Step 6: Final answer
    x = 127,218.58

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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.