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Finding the Fourth Proportional to 331,209, 457,069.50 and 180,307.08

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Solution

The fourth proportional to 331,209, 457,069.50 and 180,307.08 is: 248,824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,209 : 457,069.50 = 180,307.08 : x
  2. Step 2: Convert to fraction form
    331,209/457,069.50 = 180,307.08/x
  3. Step 3: Cross multiply
    331,209x = 457,069.50 × 180,307.08
  4. Step 4: Simplify right side
    331,209x = 82,412,866,902.06
  5. Step 5: Solve for x
    x = 82,412,866,902.06/331,209
  6. Step 6: Final answer
    x = 248,824.36

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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.