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Finding the Fourth Proportional to 294,457.21, 441,716.54 and 81,225.16

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Solution

The fourth proportional to 294,457.21, 441,716.54 and 81,225.16 is: 121,846.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,457.21 : 441,716.54 = 81,225.16 : x
  2. Step 2: Convert to fraction form
    294,457.21/441,716.54 = 81,225.16/x
  3. Step 3: Cross multiply
    294,457.21x = 441,716.54 × 81,225.16
  4. Step 4: Simplify right side
    294,457.21x = 35,878,495,125.73
  5. Step 5: Solve for x
    x = 35,878,495,125.73/294,457.21
  6. Step 6: Final answer
    x = 121,846.21

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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.