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Finding the Fourth Proportional to 331,213, 457,075.02 and 180,311.08

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Solution

The fourth proportional to 331,213, 457,075.02 and 180,311.08 is: 248,829.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,213 : 457,075.02 = 180,311.08 : x
  2. Step 2: Convert to fraction form
    331,213/457,075.02 = 180,311.08/x
  3. Step 3: Cross multiply
    331,213x = 457,075.02 × 180,311.08
  4. Step 4: Simplify right side
    331,213x = 82,415,690,497.22
  5. Step 5: Solve for x
    x = 82,415,690,497.22/331,213
  6. Step 6: Final answer
    x = 248,829.88

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1.5x scale

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.