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Finding the Fourth Proportional to 331,218, 457,080.93 and 180,315

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Solution

The fourth proportional to 331,218, 457,080.93 and 180,315 is: 248,834.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,218 : 457,080.93 = 180,315 : x
  2. Step 2: Convert to fraction form
    331,218/457,080.93 = 180,315/x
  3. Step 3: Cross multiply
    331,218x = 457,080.93 × 180,315
  4. Step 4: Simplify right side
    331,218x = 82,418,547,892.95
  5. Step 5: Solve for x
    x = 82,418,547,892.95/331,218
  6. Step 6: Final answer
    x = 248,834.75

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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.