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Finding the Fourth Proportional to 427,457.72, 589,887.23 and 233,863.61

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Solution

The fourth proportional to 427,457.72, 589,887.23 and 233,863.61 is: 322,729.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,457.72 : 589,887.23 = 233,863.61 : x
  2. Step 2: Convert to fraction form
    427,457.72/589,887.23 = 233,863.61/x
  3. Step 3: Cross multiply
    427,457.72x = 589,887.23 × 233,863.61
  4. Step 4: Simplify right side
    427,457.72x = 137,953,152,981.95
  5. Step 5: Solve for x
    x = 137,953,152,981.95/427,457.72
  6. Step 6: Final answer
    x = 322,729.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.