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Finding the Fourth Proportional to 665,085.80, 996,948.30 and 327,607.40

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Solution

The fourth proportional to 665,085.80, 996,948.30 and 327,607.40 is: 491,075.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,085.80 : 996,948.30 = 327,607.40 : x
  2. Step 2: Convert to fraction form
    665,085.80/996,948.30 = 327,607.40/x
  3. Step 3: Cross multiply
    665,085.80x = 996,948.30 × 327,607.40
  4. Step 4: Simplify right side
    665,085.80x = 326,607,640,497.42
  5. Step 5: Solve for x
    x = 326,607,640,497.42/665,085.80
  6. Step 6: Final answer
    x = 491,075.95

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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.