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Finding the Fourth Proportional to 653,533.80, 980,361.12 and 254,204.88

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Solution

The fourth proportional to 653,533.80, 980,361.12 and 254,204.88 is: 381,330.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,533.80 : 980,361.12 = 254,204.88 : x
  2. Step 2: Convert to fraction form
    653,533.80/980,361.12 = 254,204.88/x
  3. Step 3: Cross multiply
    653,533.80x = 980,361.12 × 254,204.88
  4. Step 4: Simplify right side
    653,533.80x = 249,212,580,866.27
  5. Step 5: Solve for x
    x = 249,212,580,866.27/653,533.80
  6. Step 6: Final answer
    x = 381,330.82

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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.