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Finding the Fourth Proportional to 453,670.90, 680,506.35 and 311,953.30

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Solution

The fourth proportional to 453,670.90, 680,506.35 and 311,953.30 is: 467,929.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,670.90 : 680,506.35 = 311,953.30 : x
  2. Step 2: Convert to fraction form
    453,670.90/680,506.35 = 311,953.30/x
  3. Step 3: Cross multiply
    453,670.90x = 680,506.35 × 311,953.30
  4. Step 4: Simplify right side
    453,670.90x = 212,286,201,553.46
  5. Step 5: Solve for x
    x = 212,286,201,553.46/453,670.90
  6. Step 6: Final answer
    x = 467,929.95

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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.