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Finding the Fourth Proportional to 453,638.80, 680,458.20 and 311,921.20

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Solution

The fourth proportional to 453,638.80, 680,458.20 and 311,921.20 is: 467,881.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,638.80 : 680,458.20 = 311,921.20 : x
  2. Step 2: Convert to fraction form
    453,638.80/680,458.20 = 311,921.20/x
  3. Step 3: Cross multiply
    453,638.80x = 680,458.20 × 311,921.20
  4. Step 4: Simplify right side
    453,638.80x = 212,249,338,293.84
  5. Step 5: Solve for x
    x = 212,249,338,293.84/453,638.80
  6. Step 6: Final answer
    x = 467,881.80

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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.